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LCM of 127, 976, 305, 252

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


Find the LCM of 127, 976, 305, 252 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 127, 976, 305, 252. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 127,976,305,252

Given numbers are 127,976,305,252

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

The LCM of 127,976,305,252 is 39044880.

Find LCM of 127,976,305,252 with Prime Factorization


2 127, 976, 305, 252
2 127, 488, 305, 126
61 127, 244, 305, 63
127, 4, 5, 63

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

2 x 2 x 61 x 127 x 4 x 5 x 63 = 39044880

Therefore, the lowest common multiple of 127,976,305,252 is 39044880.

LCM Formula to Find Lowest Common Multiple of 127,976,305,252

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.

127 x 976 x 305 x 252 = 9526950720

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.

127 : 1, 127

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

305 : 1, 5, 61, 305

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,976,305,252, is 1.

Now, the common factors can be found like this.

127:127

976:2x 2x 2x 2x 61

305:5x 61

252:2x 2x 3x 3x 7

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 61 = 244

Therefore, the value for common factors is 244.

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 = 9526950720/(1x244)

LCM = 9526950720/244

LCM = 39044880

Thus, we can understand that the LCM of 127,976,305,252 is 39044880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 127, 976, 305, 252

1. What is the LCM of 127, 976, 305, 252?

Answer: LCM of 127, 976, 305, 252 is 39044880.

2. How to calculate the LCM of 127, 976, 305, 252?

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 127, 976, 305, 252.

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}.