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LCM of 653, 869, 398, 760

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


Find the LCM of 653, 869, 398, 760 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 653, 869, 398, 760. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 653,869,398,760

Given numbers are 653,869,398,760

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

The LCM of 653,869,398,760 is 85822196680.

Find LCM of 653,869,398,760 with Prime Factorization


2 653, 869, 398, 760
653, 869, 199, 380

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

2 x 653 x 869 x 199 x 380 = 85822196680

Therefore, the lowest common multiple of 653,869,398,760 is 85822196680.

LCM Formula to Find Lowest Common Multiple of 653,869,398,760

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.

653 x 869 x 398 x 760 = 171644393360

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.

653 : 1, 653

869 : 1, 11, 79, 869

398 : 1, 2, 199, 398

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,869,398,760, is 1.

Now, the common factors can be found like this.

653:653

869:11x 79

398:2x 199

760:2x 2x 2x 5x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 171644393360/(1x2)

LCM = 171644393360/2

LCM = 85822196680

Thus, we can understand that the LCM of 653,869,398,760 is 85822196680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 653, 869, 398, 760

1. What is the LCM of 653, 869, 398, 760?

Answer: LCM of 653, 869, 398, 760 is 85822196680.

2. How to calculate the LCM of 653, 869, 398, 760?

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 653, 869, 398, 760.

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}.