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LCM of 771, 130, 145, 831, 359

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


Find the LCM of 771, 130, 145, 831, 359 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 771, 130, 145, 831, 359. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 771,130,145,831,359

Given numbers are 771,130,145,831,359

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

The LCM of 771,130,145,831,359 is 289047984810.

Find LCM of 771,130,145,831,359 with Prime Factorization


3 771, 130, 145, 831, 359
5 257, 130, 145, 277, 359
257, 26, 29, 277, 359

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

3 x 5 x 257 x 26 x 29 x 277 x 359 = 289047984810

Therefore, the lowest common multiple of 771,130,145,831,359 is 289047984810.

LCM Formula to Find Lowest Common Multiple of 771,130,145,831,359

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.

771 x 130 x 145 x 831 x 359 = 4335719772150

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.

771 : 1, 3, 257, 771

130 : 1, 2, 5, 10, 13, 26, 65, 130

145 : 1, 5, 29, 145

831 : 1, 3, 277, 831

359 : 1, 359

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,130,145,831,359, is 1.

Now, the common factors can be found like this.

771:3x 257

130:2x 5x 13

145:5x 29

831:3x 277

359:359

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 4335719772150/(1x15)

LCM = 4335719772150/15

LCM = 289047984810

Thus, we can understand that the LCM of 771,130,145,831,359 is 289047984810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 771, 130, 145, 831, 359

1. What is the LCM of 771, 130, 145, 831, 359?

Answer: LCM of 771, 130, 145, 831, 359 is 289047984810.

2. How to calculate the LCM of 771, 130, 145, 831, 359?

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 771, 130, 145, 831, 359.

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}.