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LCM of 627, 506, 506, 689

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


Find the LCM of 627, 506, 506, 689 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, 506, 506, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 627,506,506,689

Given numbers are 627,506,506,689

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

The LCM of 627,506,506,689 is 19872138.

Find LCM of 627,506,506,689 with Prime Factorization


2 627, 506, 506, 689
11 627, 253, 253, 689
23 57, 23, 23, 689
57, 1, 1, 689

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

2 x 11 x 23 x 57 x 1 x 1 x 689 = 19872138

Therefore, the lowest common multiple of 627,506,506,689 is 19872138.

LCM Formula to Find Lowest Common Multiple of 627,506,506,689

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 506 x 506 x 689 = 110608320108

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

506 : 1, 2, 11, 22, 23, 46, 253, 506

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,506,506,689, is 1.

Now, the common factors can be found like this.

627:3x 11x 19

506:2x 11x 23

506:2x 11x 23

689:13x 53

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

2x 11x 11x 23 = 5566

Therefore, the value for common factors is 5566.

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 = 110608320108/(1x5566)

LCM = 110608320108/5566

LCM = 19872138

Thus, we can understand that the LCM of 627,506,506,689 is 19872138.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 627, 506, 506, 689

1. What is the LCM of 627, 506, 506, 689?

Answer: LCM of 627, 506, 506, 689 is 19872138.

2. How to calculate the LCM of 627, 506, 506, 689?

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, 506, 506, 689.

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}.