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 524, 341, 561, 448

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


Find the LCM of 524, 341, 561, 448 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 524, 341, 561, 448. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,341,561,448

Given numbers are 524,341,561,448

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

The LCM of 524,341,561,448 is 1020643008.

Find LCM of 524,341,561,448 with Prime Factorization


2 524, 341, 561, 448
2 262, 341, 561, 224
11 131, 341, 561, 112
131, 31, 51, 112

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

2 x 2 x 11 x 131 x 31 x 51 x 112 = 1020643008

Therefore, the lowest common multiple of 524,341,561,448 is 1020643008.

LCM Formula to Find Lowest Common Multiple of 524,341,561,448

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.

524 x 341 x 561 x 448 = 44908292352

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.

524 : 1, 2, 4, 131, 262, 524

341 : 1, 11, 31, 341

561 : 1, 3, 11, 17, 33, 51, 187, 561

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,341,561,448, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

341:11x 31

561:3x 11x 17

448:2x 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 11 = 44

Therefore, the value for common factors is 44.

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 = 44908292352/(1x44)

LCM = 44908292352/44

LCM = 1020643008

Thus, we can understand that the LCM of 524,341,561,448 is 1020643008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 341, 561, 448

1. What is the LCM of 524, 341, 561, 448?

Answer: LCM of 524, 341, 561, 448 is 1020643008.

2. How to calculate the LCM of 524, 341, 561, 448?

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 524, 341, 561, 448.

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}.