What are the Factors of 35763471744 ?

Factors of 35763471744 are . There are integers that are factors of 35763471744.

How to Find the LCM of 421, 507, 748, 748, 896 ?

Least Common Multiple of 421, 507, 748, 748, 896 = 35763471744 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(421, 507, 748, 748, 896) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 13 x 13 x 17 x 421 = 35763471744.

What are the Factors of 35763471744 ?

Factors of 35763471744 are . There are integers that are factors of 35763471744.

How to Find the LCM of 421, 507, 748, 748, 896 ?

Least Common Multiple of 421, 507, 748, 748, 896 = 35763471744 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(421, 507, 748, 748, 896) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 13 x 13 x 17 x 421 = 35763471744.

LCM of 421, 507, 748, 748, 896

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023

Find the LCM of 421, 507, 748, 748, 896 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 421, 507, 748, 748, 896. So, keep reading to learn more.

Calculate the LCM of 421,507,748,748,896

Given numbers are 421,507,748,748,896

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 421,507,748,748,896 is 35763471744.

Find LCM of 421,507,748,748,896 with Prime Factorization

2	421, 507, 748, 748, 896
2	421, 507, 374, 374, 448
11	421, 507, 187, 187, 224
17	421, 507, 17, 17, 224
	421, 507, 1, 1, 224

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 11 x 17 x 421 x 507 x 1 x 1 x 224 = 35763471744

Therefore, the lowest common multiple of 421,507,748,748,896 is 35763471744.

LCM Formula to Find Lowest Common Multiple of 421,507,748,748,896

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

421 x 507 x 748 x 748 x 896 = 107004307458048

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

421 : 1, 421

507 : 1, 3, 13, 39, 169, 507

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,507,748,748,896, is 1.

Now, the common factors can be found like this.

421:421

507:3x 13x 13

748:2x 2x 11x 17

896:2x 2x 2x 2x 2x 2x 2x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 11x 17 = 2992

Therefore, the value for common factors is 2992.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 107004307458048/(1x2992)

LCM = 107004307458048/2992

LCM = 35763471744

Thus, we can understand that the LCM of 421,507,748,748,896 is 35763471744.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 421, 507, 748, 748, 896

1. What is the LCM of 421, 507, 748, 748, 896?

Answer: LCM of 421, 507, 748, 748, 896 is 35763471744.

2. How to calculate the LCM of 421, 507, 748, 748, 896?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 421, 507, 748, 748, 896.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.