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LCM of 708, 641, 226, 627

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


Find the LCM of 708, 641, 226, 627 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 708, 641, 226, 627. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 708,641,226,627

Given numbers are 708,641,226,627

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

The LCM of 708,641,226,627 is 10718055876.

Find LCM of 708,641,226,627 with Prime Factorization


2 708, 641, 226, 627
3 354, 641, 113, 627
118, 641, 113, 209

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

2 x 3 x 118 x 641 x 113 x 209 = 10718055876

Therefore, the lowest common multiple of 708,641,226,627 is 10718055876.

LCM Formula to Find Lowest Common Multiple of 708,641,226,627

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.

708 x 641 x 226 x 627 = 64308335256

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

641 : 1, 641

226 : 1, 2, 113, 226

627 : 1, 3, 11, 19, 33, 57, 209, 627

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,641,226,627, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

641:641

226:2x 113

627:3x 11x 19

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 64308335256/(1x6)

LCM = 64308335256/6

LCM = 10718055876

Thus, we can understand that the LCM of 708,641,226,627 is 10718055876.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 708, 641, 226, 627

1. What is the LCM of 708, 641, 226, 627?

Answer: LCM of 708, 641, 226, 627 is 10718055876.

2. How to calculate the LCM of 708, 641, 226, 627?

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 708, 641, 226, 627.

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}.