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LCM of 657, 644, 740, 646, 556

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


Find the LCM of 657, 644, 740, 646, 556 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 657, 644, 740, 646, 556. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 657,644,740,646,556

Given numbers are 657,644,740,646,556

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

The LCM of 657,644,740,646,556 is 3514311777060.

Find LCM of 657,644,740,646,556 with Prime Factorization


2 657, 644, 740, 646, 556
2 657, 322, 370, 323, 278
657, 161, 185, 323, 139

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

2 x 2 x 657 x 161 x 185 x 323 x 139 = 3514311777060

Therefore, the lowest common multiple of 657,644,740,646,556 is 3514311777060.

LCM Formula to Find Lowest Common Multiple of 657,644,740,646,556

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.

657 x 644 x 740 x 646 x 556 = 112457976865920

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.

657 : 1, 3, 9, 73, 219, 657

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

646 : 1, 2, 17, 19, 34, 38, 323, 646

556 : 1, 2, 4, 139, 278, 556

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,644,740,646,556, is 1.

Now, the common factors can be found like this.

657:3x 3x 73

644:2x 2x 7x 23

740:2x 2x 5x 37

646:2x 17x 19

556:2x 2x 139

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 2 = 32

Therefore, the value for common factors is 32.

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 = 112457976865920/(1x32)

LCM = 112457976865920/32

LCM = 3514311777060

Thus, we can understand that the LCM of 657,644,740,646,556 is 3514311777060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 657, 644, 740, 646, 556

1. What is the LCM of 657, 644, 740, 646, 556?

Answer: LCM of 657, 644, 740, 646, 556 is 3514311777060.

2. How to calculate the LCM of 657, 644, 740, 646, 556?

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 657, 644, 740, 646, 556.

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}.