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LCM of 777, 524, 884, 478, 131

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


Find the LCM of 777, 524, 884, 478, 131 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 777, 524, 884, 478, 131. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 777,524,884,478,131

Given numbers are 777,524,884,478,131

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

The LCM of 777,524,884,478,131 is 21505150212.

Find LCM of 777,524,884,478,131 with Prime Factorization


2 777, 524, 884, 478, 131
2 777, 262, 442, 239, 131
131 777, 131, 221, 239, 131
777, 1, 221, 239, 1

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

2 x 2 x 131 x 777 x 1 x 221 x 239 x 1 = 21505150212

Therefore, the lowest common multiple of 777,524,884,478,131 is 21505150212.

LCM Formula to Find Lowest Common Multiple of 777,524,884,478,131

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.

777 x 524 x 884 x 478 x 131 = 22537397422176

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.

777 : 1, 3, 7, 21, 37, 111, 259, 777

524 : 1, 2, 4, 131, 262, 524

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

478 : 1, 2, 239, 478

131 : 1, 131

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,524,884,478,131, is 1.

Now, the common factors can be found like this.

777:3x 7x 37

524:2x 2x 131

884:2x 2x 13x 17

478:2x 239

131:131

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 131 = 1048

Therefore, the value for common factors is 1048.

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 = 22537397422176/(1x1048)

LCM = 22537397422176/1048

LCM = 21505150212

Thus, we can understand that the LCM of 777,524,884,478,131 is 21505150212.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 777, 524, 884, 478, 131

1. What is the LCM of 777, 524, 884, 478, 131?

Answer: LCM of 777, 524, 884, 478, 131 is 21505150212.

2. How to calculate the LCM of 777, 524, 884, 478, 131?

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 777, 524, 884, 478, 131.

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}.