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LCM of 627, 114, 440, 566

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


Find the LCM of 627, 114, 440, 566 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, 114, 440, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 627,114,440,566

Given numbers are 627,114,440,566

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

The LCM of 627,114,440,566 is 7097640.

Find LCM of 627,114,440,566 with Prime Factorization


2 627, 114, 440, 566
3 627, 57, 220, 283
11 209, 19, 220, 283
19 19, 19, 20, 283
1, 1, 20, 283

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

2 x 3 x 11 x 19 x 1 x 1 x 20 x 283 = 7097640

Therefore, the lowest common multiple of 627,114,440,566 is 7097640.

LCM Formula to Find Lowest Common Multiple of 627,114,440,566

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 114 x 440 x 566 = 17800881120

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

114 : 1, 2, 3, 6, 19, 38, 57, 114

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,114,440,566, is 1.

Now, the common factors can be found like this.

627:3x 11x 19

114:2x 3x 19

440:2x 2x 2x 5x 11

566:2x 283

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

2x 2x 3x 11x 19 = 2508

Therefore, the value for common factors is 2508.

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 = 17800881120/(1x2508)

LCM = 17800881120/2508

LCM = 7097640

Thus, we can understand that the LCM of 627,114,440,566 is 7097640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 627, 114, 440, 566

1. What is the LCM of 627, 114, 440, 566?

Answer: LCM of 627, 114, 440, 566 is 7097640.

2. How to calculate the LCM of 627, 114, 440, 566?

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, 114, 440, 566.

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}.