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LCM of 437, 867, 530, 671, 896

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


Find the LCM of 437, 867, 530, 671, 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 437, 867, 530, 671, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,867,530,671,896

Given numbers are 437,867,530,671,896

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

The LCM of 437,867,530,671,896 is 60363850968960.

Find LCM of 437,867,530,671,896 with Prime Factorization


2 437, 867, 530, 671, 896
437, 867, 265, 671, 448

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

2 x 437 x 867 x 265 x 671 x 448 = 60363850968960

Therefore, the lowest common multiple of 437,867,530,671,896 is 60363850968960.

LCM Formula to Find Lowest Common Multiple of 437,867,530,671,896

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.

437 x 867 x 530 x 671 x 896 = 120727701937920

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.

437 : 1, 19, 23, 437

867 : 1, 3, 17, 51, 289, 867

530 : 1, 2, 5, 10, 53, 106, 265, 530

671 : 1, 11, 61, 671

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 437,867,530,671,896, is 1.

Now, the common factors can be found like this.

437:19x 23

867:3x 17x 17

530:2x 5x 53

671:11x 61

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 120727701937920/(1x2)

LCM = 120727701937920/2

LCM = 60363850968960

Thus, we can understand that the LCM of 437,867,530,671,896 is 60363850968960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 867, 530, 671, 896

1. What is the LCM of 437, 867, 530, 671, 896?

Answer: LCM of 437, 867, 530, 671, 896 is 60363850968960.

2. How to calculate the LCM of 437, 867, 530, 671, 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 437, 867, 530, 671, 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}.