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LCM of 113, 774, 516, 577, 617

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


Find the LCM of 113, 774, 516, 577, 617 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 113, 774, 516, 577, 617. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 113,774,516,577,617

Given numbers are 113,774,516,577,617

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

The LCM of 113,774,516,577,617 is 62274518316.

Find LCM of 113,774,516,577,617 with Prime Factorization


2 113, 774, 516, 577, 617
3 113, 387, 258, 577, 617
43 113, 129, 86, 577, 617
113, 3, 2, 577, 617

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

2 x 3 x 43 x 113 x 3 x 2 x 577 x 617 = 62274518316

Therefore, the lowest common multiple of 113,774,516,577,617 is 62274518316.

LCM Formula to Find Lowest Common Multiple of 113,774,516,577,617

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.

113 x 774 x 516 x 577 x 617 = 16066825725528

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.

113 : 1, 113

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

577 : 1, 577

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,774,516,577,617, is 1.

Now, the common factors can be found like this.

113:113

774:2x 3x 3x 43

516:2x 2x 3x 43

577:577

617:617

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

2x 3x 43 = 258

Therefore, the value for common factors is 258.

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 = 16066825725528/(1x258)

LCM = 16066825725528/258

LCM = 62274518316

Thus, we can understand that the LCM of 113,774,516,577,617 is 62274518316.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 113, 774, 516, 577, 617

1. What is the LCM of 113, 774, 516, 577, 617?

Answer: LCM of 113, 774, 516, 577, 617 is 62274518316.

2. How to calculate the LCM of 113, 774, 516, 577, 617?

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 113, 774, 516, 577, 617.

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}.