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LCM of 115, 612, 684, 952, 337

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


Find the LCM of 115, 612, 684, 952, 337 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 115, 612, 684, 952, 337. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 115,612,684,952,337

Given numbers are 115,612,684,952,337

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

The LCM of 115,612,684,952,337 is 6309003960.

Find LCM of 115,612,684,952,337 with Prime Factorization


2 115, 612, 684, 952, 337
2 115, 306, 342, 476, 337
3 115, 153, 171, 238, 337
3 115, 51, 57, 238, 337
17 115, 17, 19, 238, 337
115, 1, 19, 14, 337

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

2 x 2 x 3 x 3 x 17 x 115 x 1 x 19 x 14 x 337 = 6309003960

Therefore, the lowest common multiple of 115,612,684,952,337 is 6309003960.

LCM Formula to Find Lowest Common Multiple of 115,612,684,952,337

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.

115 x 612 x 684 x 952 x 337 = 15444441694080

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.

115 : 1, 5, 23, 115

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

337 : 1, 337

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,612,684,952,337, is 1.

Now, the common factors can be found like this.

115:5x 23

612:2x 2x 3x 3x 17

684:2x 2x 3x 3x 19

952:2x 2x 2x 7x 17

337:337

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

2x 2x 2x 2x 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 15444441694080/(1x2448)

LCM = 15444441694080/2448

LCM = 6309003960

Thus, we can understand that the LCM of 115,612,684,952,337 is 6309003960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 115, 612, 684, 952, 337

1. What is the LCM of 115, 612, 684, 952, 337?

Answer: LCM of 115, 612, 684, 952, 337 is 6309003960.

2. How to calculate the LCM of 115, 612, 684, 952, 337?

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 115, 612, 684, 952, 337.

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}.