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LCM of 967, 637, 859, 377, 360

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


Find the LCM of 967, 637, 859, 377, 360 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 967, 637, 859, 377, 360. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,637,859,377,360

Given numbers are 967,637,859,377,360

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

The LCM of 967,637,859,377,360 is 5524075032840.

Find LCM of 967,637,859,377,360 with Prime Factorization


13 967, 637, 859, 377, 360
967, 49, 859, 29, 360

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

13 x 967 x 49 x 859 x 29 x 360 = 5524075032840

Therefore, the lowest common multiple of 967,637,859,377,360 is 5524075032840.

LCM Formula to Find Lowest Common Multiple of 967,637,859,377,360

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.

967 x 637 x 859 x 377 x 360 = 71812975426920

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.

967 : 1, 967

637 : 1, 7, 13, 49, 91, 637

859 : 1, 859

377 : 1, 13, 29, 377

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,637,859,377,360, is 1.

Now, the common factors can be found like this.

967:967

637:7x 7x 13

859:859

377:13x 29

360:2x 2x 2x 3x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

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 = 71812975426920/(1x13)

LCM = 71812975426920/13

LCM = 5524075032840

Thus, we can understand that the LCM of 967,637,859,377,360 is 5524075032840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 637, 859, 377, 360

1. What is the LCM of 967, 637, 859, 377, 360?

Answer: LCM of 967, 637, 859, 377, 360 is 5524075032840.

2. How to calculate the LCM of 967, 637, 859, 377, 360?

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 967, 637, 859, 377, 360.

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}.