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LCM of 695, 321, 508, 387

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


Find the LCM of 695, 321, 508, 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 695, 321, 508, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 695,321,508,387

Given numbers are 695,321,508,387

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

The LCM of 695,321,508,387 is 14619861540.

Find LCM of 695,321,508,387 with Prime Factorization


3 695, 321, 508, 387
695, 107, 508, 129

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

3 x 695 x 107 x 508 x 129 = 14619861540

Therefore, the lowest common multiple of 695,321,508,387 is 14619861540.

LCM Formula to Find Lowest Common Multiple of 695,321,508,387

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.

695 x 321 x 508 x 387 = 43859584620

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.

695 : 1, 5, 139, 695

321 : 1, 3, 107, 321

508 : 1, 2, 4, 127, 254, 508

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 695,321,508,387, is 1.

Now, the common factors can be found like this.

695:5x 139

321:3x 107

508:2x 2x 127

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 43859584620/(1x3)

LCM = 43859584620/3

LCM = 14619861540

Thus, we can understand that the LCM of 695,321,508,387 is 14619861540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 695, 321, 508, 387

1. What is the LCM of 695, 321, 508, 387?

Answer: LCM of 695, 321, 508, 387 is 14619861540.

2. How to calculate the LCM of 695, 321, 508, 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 695, 321, 508, 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}.