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LCM of 920, 572, 936, 427, 356

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


Find the LCM of 920, 572, 936, 427, 356 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 920, 572, 936, 427, 356. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 920,572,936,427,356

Given numbers are 920,572,936,427,356

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

The LCM of 920,572,936,427,356 is 44997072120.

Find LCM of 920,572,936,427,356 with Prime Factorization


2 920, 572, 936, 427, 356
2 460, 286, 468, 427, 178
2 230, 143, 234, 427, 89
13 115, 143, 117, 427, 89
115, 11, 9, 427, 89

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

2 x 2 x 2 x 13 x 115 x 11 x 9 x 427 x 89 = 44997072120

Therefore, the lowest common multiple of 920,572,936,427,356 is 44997072120.

LCM Formula to Find Lowest Common Multiple of 920,572,936,427,356

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.

920 x 572 x 936 x 427 x 356 = 74875128007680

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

427 : 1, 7, 61, 427

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,572,936,427,356, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

572:2x 2x 11x 13

936:2x 2x 2x 3x 3x 13

427:7x 61

356:2x 2x 89

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 2x 2x 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 74875128007680/(1x1664)

LCM = 74875128007680/1664

LCM = 44997072120

Thus, we can understand that the LCM of 920,572,936,427,356 is 44997072120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 920, 572, 936, 427, 356

1. What is the LCM of 920, 572, 936, 427, 356?

Answer: LCM of 920, 572, 936, 427, 356 is 44997072120.

2. How to calculate the LCM of 920, 572, 936, 427, 356?

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 920, 572, 936, 427, 356.

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}.