LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 798, 929, 632, 450

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


Find the LCM of 798, 929, 632, 450 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 798, 929, 632, 450. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 798,929,632,450

Given numbers are 798,929,632,450

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

The LCM of 798,929,632,450 is 17569805400.

Find LCM of 798,929,632,450 with Prime Factorization


2 798, 929, 632, 450
3 399, 929, 316, 225
133, 929, 316, 75

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

2 x 3 x 133 x 929 x 316 x 75 = 17569805400

Therefore, the lowest common multiple of 798,929,632,450 is 17569805400.

LCM Formula to Find Lowest Common Multiple of 798,929,632,450

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.

798 x 929 x 632 x 450 = 210837664800

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

929 : 1, 929

632 : 1, 2, 4, 8, 79, 158, 316, 632

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,929,632,450, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

929:929

632:2x 2x 2x 79

450:2x 3x 3x 5x 5

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 3 = 12

Therefore, the value for common factors is 12.

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 = 210837664800/(1x12)

LCM = 210837664800/12

LCM = 17569805400

Thus, we can understand that the LCM of 798,929,632,450 is 17569805400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 798, 929, 632, 450

1. What is the LCM of 798, 929, 632, 450?

Answer: LCM of 798, 929, 632, 450 is 17569805400.

2. How to calculate the LCM of 798, 929, 632, 450?

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 798, 929, 632, 450.

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}.