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LCM of 495, 902, 977, 977

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


Find the LCM of 495, 902, 977, 977 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 495, 902, 977, 977. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 495,902,977,977

Given numbers are 495,902,977,977

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

The LCM of 495,902,977,977 is 39656430.

Find LCM of 495,902,977,977 with Prime Factorization


11 495, 902, 977, 977
977 45, 82, 977, 977
45, 82, 1, 1

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

11 x 977 x 45 x 82 x 1 x 1 = 39656430

Therefore, the lowest common multiple of 495,902,977,977 is 39656430.

LCM Formula to Find Lowest Common Multiple of 495,902,977,977

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.

495 x 902 x 977 x 977 = 426187653210

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

902 : 1, 2, 11, 22, 41, 82, 451, 902

977 : 1, 977

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,902,977,977, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

902:2x 11x 41

977:977

977:977

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 977 = 10747

Therefore, the value for common factors is 10747.

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 = 426187653210/(1x10747)

LCM = 426187653210/10747

LCM = 39656430

Thus, we can understand that the LCM of 495,902,977,977 is 39656430.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 495, 902, 977, 977

1. What is the LCM of 495, 902, 977, 977?

Answer: LCM of 495, 902, 977, 977 is 39656430.

2. How to calculate the LCM of 495, 902, 977, 977?

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 495, 902, 977, 977.

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}.