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LCM of 618, 496, 953, 710

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


Find the LCM of 618, 496, 953, 710 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 618, 496, 953, 710. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 618,496,953,710

Given numbers are 618,496,953,710

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

The LCM of 618,496,953,710 is 51851510160.

Find LCM of 618,496,953,710 with Prime Factorization


2 618, 496, 953, 710
309, 248, 953, 355

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

2 x 309 x 248 x 953 x 355 = 51851510160

Therefore, the lowest common multiple of 618,496,953,710 is 51851510160.

LCM Formula to Find Lowest Common Multiple of 618,496,953,710

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.

618 x 496 x 953 x 710 = 207406040640

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.

618 : 1, 2, 3, 6, 103, 206, 309, 618

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

953 : 1, 953

710 : 1, 2, 5, 10, 71, 142, 355, 710

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,496,953,710, is 1.

Now, the common factors can be found like this.

618:2x 3x 103

496:2x 2x 2x 2x 31

953:953

710:2x 5x 71

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 207406040640/(1x4)

LCM = 207406040640/4

LCM = 51851510160

Thus, we can understand that the LCM of 618,496,953,710 is 51851510160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 618, 496, 953, 710

1. What is the LCM of 618, 496, 953, 710?

Answer: LCM of 618, 496, 953, 710 is 51851510160.

2. How to calculate the LCM of 618, 496, 953, 710?

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 618, 496, 953, 710.

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}.