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LCM of 407, 507, 660, 627

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


Find the LCM of 407, 507, 660, 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 407, 507, 660, 627. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,507,660,627

Given numbers are 407,507,660,627

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

The LCM of 407,507,660,627 is 78412620.

Find LCM of 407,507,660,627 with Prime Factorization


3 407, 507, 660, 627
11 407, 169, 220, 209
37, 169, 20, 19

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

3 x 11 x 37 x 169 x 20 x 19 = 78412620

Therefore, the lowest common multiple of 407,507,660,627 is 78412620.

LCM Formula to Find Lowest Common Multiple of 407,507,660,627

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.

407 x 507 x 660 x 627 = 85391343180

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.

407 : 1, 11, 37, 407

507 : 1, 3, 13, 39, 169, 507

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 407,507,660,627, is 1.

Now, the common factors can be found like this.

407:11x 37

507:3x 13x 13

660:2x 2x 3x 5x 11

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.

3x 3x 11x 11 = 1089

Therefore, the value for common factors is 1089.

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 = 85391343180/(1x1089)

LCM = 85391343180/1089

LCM = 78412620

Thus, we can understand that the LCM of 407,507,660,627 is 78412620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 507, 660, 627

1. What is the LCM of 407, 507, 660, 627?

Answer: LCM of 407, 507, 660, 627 is 78412620.

2. How to calculate the LCM of 407, 507, 660, 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 407, 507, 660, 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}.