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LCM of 429, 242, 156, 517, 181

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


Find the LCM of 429, 242, 156, 517, 181 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 429, 242, 156, 517, 181. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,242,156,517,181

Given numbers are 429,242,156,517,181

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

The LCM of 429,242,156,517,181 is 160578132.

Find LCM of 429,242,156,517,181 with Prime Factorization


2 429, 242, 156, 517, 181
3 429, 121, 78, 517, 181
11 143, 121, 26, 517, 181
13 13, 11, 26, 47, 181
1, 11, 2, 47, 181

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

2 x 3 x 11 x 13 x 1 x 11 x 2 x 47 x 181 = 160578132

Therefore, the lowest common multiple of 429,242,156,517,181 is 160578132.

LCM Formula to Find Lowest Common Multiple of 429,242,156,517,181

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.

429 x 242 x 156 x 517 x 181 = 1515536409816

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

242 : 1, 2, 11, 22, 121, 242

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

517 : 1, 11, 47, 517

181 : 1, 181

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,242,156,517,181, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

242:2x 11x 11

156:2x 2x 3x 13

517:11x 47

181:181

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

2x 3x 11x 11x 13 = 9438

Therefore, the value for common factors is 9438.

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 = 1515536409816/(1x9438)

LCM = 1515536409816/9438

LCM = 160578132

Thus, we can understand that the LCM of 429,242,156,517,181 is 160578132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 242, 156, 517, 181

1. What is the LCM of 429, 242, 156, 517, 181?

Answer: LCM of 429, 242, 156, 517, 181 is 160578132.

2. How to calculate the LCM of 429, 242, 156, 517, 181?

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 429, 242, 156, 517, 181.

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}.