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LCM of 151, 409, 376, 272

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


Find the LCM of 151, 409, 376, 272 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 151, 409, 376, 272. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 151,409,376,272

Given numbers are 151,409,376,272

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

The LCM of 151,409,376,272 is 789527056.

Find LCM of 151,409,376,272 with Prime Factorization


2 151, 409, 376, 272
2 151, 409, 188, 136
2 151, 409, 94, 68
151, 409, 47, 34

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

2 x 2 x 2 x 151 x 409 x 47 x 34 = 789527056

Therefore, the lowest common multiple of 151,409,376,272 is 789527056.

LCM Formula to Find Lowest Common Multiple of 151,409,376,272

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.

151 x 409 x 376 x 272 = 6316216448

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.

151 : 1, 151

409 : 1, 409

376 : 1, 2, 4, 8, 47, 94, 188, 376

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,409,376,272, is 1.

Now, the common factors can be found like this.

151:151

409:409

376:2x 2x 2x 47

272:2x 2x 2x 2x 17

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6316216448/(1x8)

LCM = 6316216448/8

LCM = 789527056

Thus, we can understand that the LCM of 151,409,376,272 is 789527056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 151, 409, 376, 272

1. What is the LCM of 151, 409, 376, 272?

Answer: LCM of 151, 409, 376, 272 is 789527056.

2. How to calculate the LCM of 151, 409, 376, 272?

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 151, 409, 376, 272.

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}.