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LCM of 907, 118, 708

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


Find the LCM of 907, 118, 708 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 907, 118, 708. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 907,118,708

Given numbers are 907,118,708

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

The LCM of 907,118,708 is 642156.

Find LCM of 907,118,708 with Prime Factorization


2 907, 118, 708
59 907, 59, 354
907, 1, 6

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

2 x 59 x 907 x 1 x 6 = 642156

Therefore, the lowest common multiple of 907,118,708 is 642156.

LCM Formula to Find Lowest Common Multiple of 907,118,708

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.

907 x 118 x 708 = 75774408

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.

907 : 1, 907

118 : 1, 2, 59, 118

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,118,708, is 1.

Now, the common factors can be found like this.

907:907

118:2x 59

708:2x 2x 3x 59

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 75774408/(1x118)

LCM = 75774408/118

LCM = 642156

Thus, we can understand that the LCM of 907,118,708 is 642156.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 907, 118, 708

1. What is the LCM of 907, 118, 708?

Answer: LCM of 907, 118, 708 is 642156.

2. How to calculate the LCM of 907, 118, 708?

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 907, 118, 708.

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}.