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LCM of 737, 869, 430, 516, 478

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


Find the LCM of 737, 869, 430, 516, 478 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 737, 869, 430, 516, 478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 737,869,430,516,478

Given numbers are 737,869,430,516,478

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

The LCM of 737,869,430,516,478 is 35901466260.

Find LCM of 737,869,430,516,478 with Prime Factorization


2 737, 869, 430, 516, 478
11 737, 869, 215, 258, 239
43 67, 79, 215, 258, 239
67, 79, 5, 6, 239

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

2 x 11 x 43 x 67 x 79 x 5 x 6 x 239 = 35901466260

Therefore, the lowest common multiple of 737,869,430,516,478 is 35901466260.

LCM Formula to Find Lowest Common Multiple of 737,869,430,516,478

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.

737 x 869 x 430 x 516 x 478 = 67925574163920

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.

737 : 1, 11, 67, 737

869 : 1, 11, 79, 869

430 : 1, 2, 5, 10, 43, 86, 215, 430

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,869,430,516,478, is 1.

Now, the common factors can be found like this.

737:11x 67

869:11x 79

430:2x 5x 43

516:2x 2x 3x 43

478:2x 239

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 11x 43 = 1892

Therefore, the value for common factors is 1892.

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 = 67925574163920/(1x1892)

LCM = 67925574163920/1892

LCM = 35901466260

Thus, we can understand that the LCM of 737,869,430,516,478 is 35901466260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 737, 869, 430, 516, 478

1. What is the LCM of 737, 869, 430, 516, 478?

Answer: LCM of 737, 869, 430, 516, 478 is 35901466260.

2. How to calculate the LCM of 737, 869, 430, 516, 478?

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 737, 869, 430, 516, 478.

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}.