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LCM of 932, 484, 714, 309, 169

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


Find the LCM of 932, 484, 714, 309, 169 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 932, 484, 714, 309, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 932,484,714,309,169

Given numbers are 932,484,714,309,169

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

The LCM of 932,484,714,309,169 is 700798926828.

Find LCM of 932,484,714,309,169 with Prime Factorization


2 932, 484, 714, 309, 169
2 466, 242, 357, 309, 169
3 233, 121, 357, 309, 169
233, 121, 119, 103, 169

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

2 x 2 x 3 x 233 x 121 x 119 x 103 x 169 = 700798926828

Therefore, the lowest common multiple of 932,484,714,309,169 is 700798926828.

LCM Formula to Find Lowest Common Multiple of 932,484,714,309,169

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.

932 x 484 x 714 x 309 x 169 = 16819174243872

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.

932 : 1, 2, 4, 233, 466, 932

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

309 : 1, 3, 103, 309

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,484,714,309,169, is 1.

Now, the common factors can be found like this.

932:2x 2x 233

484:2x 2x 11x 11

714:2x 3x 7x 17

309:3x 103

169:13x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 16819174243872/(1x24)

LCM = 16819174243872/24

LCM = 700798926828

Thus, we can understand that the LCM of 932,484,714,309,169 is 700798926828.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 932, 484, 714, 309, 169

1. What is the LCM of 932, 484, 714, 309, 169?

Answer: LCM of 932, 484, 714, 309, 169 is 700798926828.

2. How to calculate the LCM of 932, 484, 714, 309, 169?

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 932, 484, 714, 309, 169.

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}.