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LCM of 552, 745, 782, 627

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


Find the LCM of 552, 745, 782, 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 552, 745, 782, 627. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 552,745,782,627

Given numbers are 552,745,782,627

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

The LCM of 552,745,782,627 is 1461135720.

Find LCM of 552,745,782,627 with Prime Factorization


2 552, 745, 782, 627
3 276, 745, 391, 627
23 92, 745, 391, 209
4, 745, 17, 209

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

2 x 3 x 23 x 4 x 745 x 17 x 209 = 1461135720

Therefore, the lowest common multiple of 552,745,782,627 is 1461135720.

LCM Formula to Find Lowest Common Multiple of 552,745,782,627

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.

552 x 745 x 782 x 627 = 201636729360

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

745 : 1, 5, 149, 745

782 : 1, 2, 17, 23, 34, 46, 391, 782

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 552,745,782,627, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

745:5x 149

782:2x 17x 23

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.

2x 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 201636729360/(1x138)

LCM = 201636729360/138

LCM = 1461135720

Thus, we can understand that the LCM of 552,745,782,627 is 1461135720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 552, 745, 782, 627

1. What is the LCM of 552, 745, 782, 627?

Answer: LCM of 552, 745, 782, 627 is 1461135720.

2. How to calculate the LCM of 552, 745, 782, 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 552, 745, 782, 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}.