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LCM of 627, 759, 535, 160, 357

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


Find the LCM of 627, 759, 535, 160, 357 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 627, 759, 535, 160, 357. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 627,759,535,160,357

Given numbers are 627,759,535,160,357

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

The LCM of 627,759,535,160,357 is 29379614880.

Find LCM of 627,759,535,160,357 with Prime Factorization


3 627, 759, 535, 160, 357
5 209, 253, 535, 160, 119
11 209, 253, 107, 32, 119
19, 23, 107, 32, 119

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

3 x 5 x 11 x 19 x 23 x 107 x 32 x 119 = 29379614880

Therefore, the lowest common multiple of 627,759,535,160,357 is 29379614880.

LCM Formula to Find Lowest Common Multiple of 627,759,535,160,357

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.

627 x 759 x 535 x 160 x 357 = 14542909365600

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.

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

535 : 1, 5, 107, 535

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,759,535,160,357, is 1.

Now, the common factors can be found like this.

627:3x 11x 19

759:3x 11x 23

535:5x 107

160:2x 2x 2x 2x 2x 5

357:3x 7x 17

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

3x 3x 5x 11 = 495

Therefore, the value for common factors is 495.

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 = 14542909365600/(1x495)

LCM = 14542909365600/495

LCM = 29379614880

Thus, we can understand that the LCM of 627,759,535,160,357 is 29379614880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 627, 759, 535, 160, 357

1. What is the LCM of 627, 759, 535, 160, 357?

Answer: LCM of 627, 759, 535, 160, 357 is 29379614880.

2. How to calculate the LCM of 627, 759, 535, 160, 357?

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 627, 759, 535, 160, 357.

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}.