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LCM of 611, 752, 656, 127, 729

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


Find the LCM of 611, 752, 656, 127, 729 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 611, 752, 656, 127, 729. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 611,752,656,127,729

Given numbers are 611,752,656,127,729

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

The LCM of 611,752,656,127,729 is 37108747728.

Find LCM of 611,752,656,127,729 with Prime Factorization


2 611, 752, 656, 127, 729
2 611, 376, 328, 127, 729
2 611, 188, 164, 127, 729
2 611, 94, 82, 127, 729
47 611, 47, 41, 127, 729
13, 1, 41, 127, 729

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

2 x 2 x 2 x 2 x 47 x 13 x 1 x 41 x 127 x 729 = 37108747728

Therefore, the lowest common multiple of 611,752,656,127,729 is 37108747728.

LCM Formula to Find Lowest Common Multiple of 611,752,656,127,729

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.

611 x 752 x 656 x 127 x 729 = 27905778291456

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.

611 : 1, 13, 47, 611

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

127 : 1, 127

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,752,656,127,729, is 1.

Now, the common factors can be found like this.

611:13x 47

752:2x 2x 2x 2x 47

656:2x 2x 2x 2x 41

127:127

729:3x 3x 3x 3x 3x 3

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 47 = 752

Therefore, the value for common factors is 752.

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 = 27905778291456/(1x752)

LCM = 27905778291456/752

LCM = 37108747728

Thus, we can understand that the LCM of 611,752,656,127,729 is 37108747728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 611, 752, 656, 127, 729

1. What is the LCM of 611, 752, 656, 127, 729?

Answer: LCM of 611, 752, 656, 127, 729 is 37108747728.

2. How to calculate the LCM of 611, 752, 656, 127, 729?

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 611, 752, 656, 127, 729.

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}.