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LCM of 657, 649, 440, 484

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


Find the LCM of 657, 649, 440, 484 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, 649, 440, 484. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 657,649,440,484

Given numbers are 657,649,440,484

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

The LCM of 657,649,440,484 is 187612920.

Find LCM of 657,649,440,484 with Prime Factorization


2 657, 649, 440, 484
2 657, 649, 220, 242
11 657, 649, 110, 121
657, 59, 10, 11

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

2 x 2 x 11 x 657 x 59 x 10 x 11 = 187612920

Therefore, the lowest common multiple of 657,649,440,484 is 187612920.

LCM Formula to Find Lowest Common Multiple of 657,649,440,484

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 649 x 440 x 484 = 90804653280

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

649 : 1, 11, 59, 649

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,649,440,484, is 1.

Now, the common factors can be found like this.

657:3x 3x 73

649:11x 59

440:2x 2x 2x 5x 11

484:2x 2x 11x 11

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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 90804653280/(1x484)

LCM = 90804653280/484

LCM = 187612920

Thus, we can understand that the LCM of 657,649,440,484 is 187612920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 657, 649, 440, 484

1. What is the LCM of 657, 649, 440, 484?

Answer: LCM of 657, 649, 440, 484 is 187612920.

2. How to calculate the LCM of 657, 649, 440, 484?

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, 649, 440, 484.

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}.