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LCM of 128, 152, 481, 976, 976

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


Find the LCM of 128, 152, 481, 976, 976 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 128, 152, 481, 976, 976. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 128,152,481,976,976

Given numbers are 128,152,481,976,976

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

The LCM of 128,152,481,976,976 is 71357312.

Find LCM of 128,152,481,976,976 with Prime Factorization


2 128, 152, 481, 976, 976
2 64, 76, 481, 488, 488
2 32, 38, 481, 244, 244
2 16, 19, 481, 122, 122
61 8, 19, 481, 61, 61
8, 19, 481, 1, 1

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

2 x 2 x 2 x 2 x 61 x 8 x 19 x 481 x 1 x 1 = 71357312

Therefore, the lowest common multiple of 128,152,481,976,976 is 71357312.

LCM Formula to Find Lowest Common Multiple of 128,152,481,976,976

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.

128 x 152 x 481 x 976 x 976 = 8914526273536

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.

128 : 1, 2, 4, 8, 16, 32, 64, 128

152 : 1, 2, 4, 8, 19, 38, 76, 152

481 : 1, 13, 37, 481

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,152,481,976,976, is 1.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

152:2x 2x 2x 19

481:13x 37

976:2x 2x 2x 2x 61

976:2x 2x 2x 2x 61

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 2x 2x 2x 2x 2x 2x 2x 2x 61 = 124928

Therefore, the value for common factors is 124928.

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 = 8914526273536/(1x124928)

LCM = 8914526273536/124928

LCM = 71357312

Thus, we can understand that the LCM of 128,152,481,976,976 is 71357312.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 128, 152, 481, 976, 976

1. What is the LCM of 128, 152, 481, 976, 976?

Answer: LCM of 128, 152, 481, 976, 976 is 71357312.

2. How to calculate the LCM of 128, 152, 481, 976, 976?

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 128, 152, 481, 976, 976.

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}.