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LCM of 772, 264, 187, 857

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


Find the LCM of 772, 264, 187, 857 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 772, 264, 187, 857. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 772,264,187,857

Given numbers are 772,264,187,857

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

The LCM of 772,264,187,857 is 742319688.

Find LCM of 772,264,187,857 with Prime Factorization


2 772, 264, 187, 857
2 386, 132, 187, 857
11 193, 66, 187, 857
193, 6, 17, 857

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

2 x 2 x 11 x 193 x 6 x 17 x 857 = 742319688

Therefore, the lowest common multiple of 772,264,187,857 is 742319688.

LCM Formula to Find Lowest Common Multiple of 772,264,187,857

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.

772 x 264 x 187 x 857 = 32662066272

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.

772 : 1, 2, 4, 193, 386, 772

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

187 : 1, 11, 17, 187

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,264,187,857, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

264:2x 2x 2x 3x 11

187:11x 17

857:857

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 11 = 44

Therefore, the value for common factors is 44.

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 = 32662066272/(1x44)

LCM = 32662066272/44

LCM = 742319688

Thus, we can understand that the LCM of 772,264,187,857 is 742319688.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 772, 264, 187, 857

1. What is the LCM of 772, 264, 187, 857?

Answer: LCM of 772, 264, 187, 857 is 742319688.

2. How to calculate the LCM of 772, 264, 187, 857?

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 772, 264, 187, 857.

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}.