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LCM of 769, 913, 524, 627

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


Find the LCM of 769, 913, 524, 627 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 769, 913, 524, 627. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 769,913,524,627

Given numbers are 769,913,524,627

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

The LCM of 769,913,524,627 is 20970233196.

Find LCM of 769,913,524,627 with Prime Factorization


11 769, 913, 524, 627
769, 83, 524, 57

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

11 x 769 x 83 x 524 x 57 = 20970233196

Therefore, the lowest common multiple of 769,913,524,627 is 20970233196.

LCM Formula to Find Lowest Common Multiple of 769,913,524,627

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.

769 x 913 x 524 x 627 = 230672565156

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.

769 : 1, 769

913 : 1, 11, 83, 913

524 : 1, 2, 4, 131, 262, 524

627 : 1, 3, 11, 19, 33, 57, 209, 627

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,913,524,627, is 1.

Now, the common factors can be found like this.

769:769

913:11x 83

524:2x 2x 131

627:3x 11x 19

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

11 = 11

Therefore, the value for common factors is 11.

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 = 230672565156/(1x11)

LCM = 230672565156/11

LCM = 20970233196

Thus, we can understand that the LCM of 769,913,524,627 is 20970233196.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 769, 913, 524, 627

1. What is the LCM of 769, 913, 524, 627?

Answer: LCM of 769, 913, 524, 627 is 20970233196.

2. How to calculate the LCM of 769, 913, 524, 627?

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 769, 913, 524, 627.

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}.