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LCM of 508, 551, 456, 877

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


Find the LCM of 508, 551, 456, 877 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 508, 551, 456, 877. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 508,551,456,877

Given numbers are 508,551,456,877

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

The LCM of 508,551,456,877 is 1472875896.

Find LCM of 508,551,456,877 with Prime Factorization


2 508, 551, 456, 877
2 254, 551, 228, 877
19 127, 551, 114, 877
127, 29, 6, 877

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

2 x 2 x 19 x 127 x 29 x 6 x 877 = 1472875896

Therefore, the lowest common multiple of 508,551,456,877 is 1472875896.

LCM Formula to Find Lowest Common Multiple of 508,551,456,877

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.

508 x 551 x 456 x 877 = 111938568096

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.

508 : 1, 2, 4, 127, 254, 508

551 : 1, 19, 29, 551

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

877 : 1, 877

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,551,456,877, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

551:19x 29

456:2x 2x 2x 3x 19

877:877

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 19 = 76

Therefore, the value for common factors is 76.

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 = 111938568096/(1x76)

LCM = 111938568096/76

LCM = 1472875896

Thus, we can understand that the LCM of 508,551,456,877 is 1472875896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 508, 551, 456, 877

1. What is the LCM of 508, 551, 456, 877?

Answer: LCM of 508, 551, 456, 877 is 1472875896.

2. How to calculate the LCM of 508, 551, 456, 877?

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 508, 551, 456, 877.

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}.