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LCM of 127, 676, 767, 910, 548

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


Find the LCM of 127, 676, 767, 910, 548 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, 676, 767, 910, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 127,676,767,910,548

Given numbers are 127,676,767,910,548

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

The LCM of 127,676,767,910,548 is 24287960060.

Find LCM of 127,676,767,910,548 with Prime Factorization


2 127, 676, 767, 910, 548
2 127, 338, 767, 455, 274
13 127, 169, 767, 455, 137
127, 13, 59, 35, 137

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

2 x 2 x 13 x 127 x 13 x 59 x 35 x 137 = 24287960060

Therefore, the lowest common multiple of 127,676,767,910,548 is 24287960060.

LCM Formula to Find Lowest Common Multiple of 127,676,767,910,548

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 676 x 767 x 910 x 548 = 32837322001120

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

767 : 1, 13, 59, 767

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,676,767,910,548, is 1.

Now, the common factors can be found like this.

127:127

676:2x 2x 13x 13

767:13x 59

910:2x 5x 7x 13

548:2x 2x 137

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 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 32837322001120/(1x1352)

LCM = 32837322001120/1352

LCM = 24287960060

Thus, we can understand that the LCM of 127,676,767,910,548 is 24287960060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 127, 676, 767, 910, 548

1. What is the LCM of 127, 676, 767, 910, 548?

Answer: LCM of 127, 676, 767, 910, 548 is 24287960060.

2. How to calculate the LCM of 127, 676, 767, 910, 548?

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, 676, 767, 910, 548.

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}.