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LCM of 272, 650, 676, 929, 117

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


Find the LCM of 272, 650, 676, 929, 117 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 272, 650, 676, 929, 117. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 272,650,676,929,117

Given numbers are 272,650,676,929,117

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

The LCM of 272,650,676,929,117 is 9608461200.

Find LCM of 272,650,676,929,117 with Prime Factorization


2 272, 650, 676, 929, 117
2 136, 325, 338, 929, 117
13 68, 325, 169, 929, 117
68, 25, 13, 929, 9

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

2 x 2 x 13 x 68 x 25 x 13 x 929 x 9 = 9608461200

Therefore, the lowest common multiple of 272,650,676,929,117 is 9608461200.

LCM Formula to Find Lowest Common Multiple of 272,650,676,929,117

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.

272 x 650 x 676 x 929 x 117 = 12990639542400

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

929 : 1, 929

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,650,676,929,117, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

650:2x 5x 5x 13

676:2x 2x 13x 13

929:929

117:3x 3x 13

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 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 12990639542400/(1x1352)

LCM = 12990639542400/1352

LCM = 9608461200

Thus, we can understand that the LCM of 272,650,676,929,117 is 9608461200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 272, 650, 676, 929, 117

1. What is the LCM of 272, 650, 676, 929, 117?

Answer: LCM of 272, 650, 676, 929, 117 is 9608461200.

2. How to calculate the LCM of 272, 650, 676, 929, 117?

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 272, 650, 676, 929, 117.

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}.