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LCM of 851, 507, 394, 952, 387

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


Find the LCM of 851, 507, 394, 952, 387 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 851, 507, 394, 952, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 851,507,394,952,387

Given numbers are 851,507,394,952,387

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

The LCM of 851,507,394,952,387 is 10438315137432.

Find LCM of 851,507,394,952,387 with Prime Factorization


2 851, 507, 394, 952, 387
3 851, 507, 197, 476, 387
851, 169, 197, 476, 129

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

2 x 3 x 851 x 169 x 197 x 476 x 129 = 10438315137432

Therefore, the lowest common multiple of 851,507,394,952,387 is 10438315137432.

LCM Formula to Find Lowest Common Multiple of 851,507,394,952,387

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.

851 x 507 x 394 x 952 x 387 = 62629890824592

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.

851 : 1, 23, 37, 851

507 : 1, 3, 13, 39, 169, 507

394 : 1, 2, 197, 394

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,507,394,952,387, is 1.

Now, the common factors can be found like this.

851:23x 37

507:3x 13x 13

394:2x 197

952:2x 2x 2x 7x 17

387:3x 3x 43

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 62629890824592/(1x6)

LCM = 62629890824592/6

LCM = 10438315137432

Thus, we can understand that the LCM of 851,507,394,952,387 is 10438315137432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 851, 507, 394, 952, 387

1. What is the LCM of 851, 507, 394, 952, 387?

Answer: LCM of 851, 507, 394, 952, 387 is 10438315137432.

2. How to calculate the LCM of 851, 507, 394, 952, 387?

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 851, 507, 394, 952, 387.

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}.