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LCM of 108, 661, 956, 577

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


Find the LCM of 108, 661, 956, 577 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 108, 661, 956, 577. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 108,661,956,577

Given numbers are 108,661,956,577

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

The LCM of 108,661,956,577 is 9844619364.

Find LCM of 108,661,956,577 with Prime Factorization


2 108, 661, 956, 577
2 54, 661, 478, 577
27, 661, 239, 577

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

2 x 2 x 27 x 661 x 239 x 577 = 9844619364

Therefore, the lowest common multiple of 108,661,956,577 is 9844619364.

LCM Formula to Find Lowest Common Multiple of 108,661,956,577

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.

108 x 661 x 956 x 577 = 39378477456

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.

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

661 : 1, 661

956 : 1, 2, 4, 239, 478, 956

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,661,956,577, is 1.

Now, the common factors can be found like this.

108:2x 2x 3x 3x 3

661:661

956:2x 2x 239

577:577

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 39378477456/(1x4)

LCM = 39378477456/4

LCM = 9844619364

Thus, we can understand that the LCM of 108,661,956,577 is 9844619364.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 108, 661, 956, 577

1. What is the LCM of 108, 661, 956, 577?

Answer: LCM of 108, 661, 956, 577 is 9844619364.

2. How to calculate the LCM of 108, 661, 956, 577?

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 108, 661, 956, 577.

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}.