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LCM of 917, 215, 711, 957, 137

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


Find the LCM of 917, 215, 711, 957, 137 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 917, 215, 711, 957, 137. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 917,215,711,957,137

Given numbers are 917,215,711,957,137

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

The LCM of 917,215,711,957,137 is 6126164390115.

Find LCM of 917,215,711,957,137 with Prime Factorization


3 917, 215, 711, 957, 137
917, 215, 237, 319, 137

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

3 x 917 x 215 x 237 x 319 x 137 = 6126164390115

Therefore, the lowest common multiple of 917,215,711,957,137 is 6126164390115.

LCM Formula to Find Lowest Common Multiple of 917,215,711,957,137

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.

917 x 215 x 711 x 957 x 137 = 18378493170345

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.

917 : 1, 7, 131, 917

215 : 1, 5, 43, 215

711 : 1, 3, 9, 79, 237, 711

957 : 1, 3, 11, 29, 33, 87, 319, 957

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,215,711,957,137, is 1.

Now, the common factors can be found like this.

917:7x 131

215:5x 43

711:3x 3x 79

957:3x 11x 29

137:137

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

3 = 3

Therefore, the value for common factors is 3.

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 = 18378493170345/(1x3)

LCM = 18378493170345/3

LCM = 6126164390115

Thus, we can understand that the LCM of 917,215,711,957,137 is 6126164390115.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 917, 215, 711, 957, 137

1. What is the LCM of 917, 215, 711, 957, 137?

Answer: LCM of 917, 215, 711, 957, 137 is 6126164390115.

2. How to calculate the LCM of 917, 215, 711, 957, 137?

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 917, 215, 711, 957, 137.

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}.