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LCM of 486, 748, 103, 618, 404

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


Find the LCM of 486, 748, 103, 618, 404 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 486, 748, 103, 618, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 486,748,103,618,404

Given numbers are 486,748,103,618,404

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

The LCM of 486,748,103,618,404 is 1890890892.

Find LCM of 486,748,103,618,404 with Prime Factorization


2 486, 748, 103, 618, 404
2 243, 374, 103, 309, 202
3 243, 187, 103, 309, 101
103 81, 187, 103, 103, 101
81, 187, 1, 1, 101

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

2 x 2 x 3 x 103 x 81 x 187 x 1 x 1 x 101 = 1890890892

Therefore, the lowest common multiple of 486,748,103,618,404 is 1890890892.

LCM Formula to Find Lowest Common Multiple of 486,748,103,618,404

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.

486 x 748 x 103 x 618 x 404 = 9348564570048

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.

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

103 : 1, 103

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

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,748,103,618,404, is 1.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

748:2x 2x 11x 17

103:103

618:2x 3x 103

404:2x 2x 101

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 2x 2x 3x 103 = 4944

Therefore, the value for common factors is 4944.

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 = 9348564570048/(1x4944)

LCM = 9348564570048/4944

LCM = 1890890892

Thus, we can understand that the LCM of 486,748,103,618,404 is 1890890892.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 486, 748, 103, 618, 404

1. What is the LCM of 486, 748, 103, 618, 404?

Answer: LCM of 486, 748, 103, 618, 404 is 1890890892.

2. How to calculate the LCM of 486, 748, 103, 618, 404?

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 486, 748, 103, 618, 404.

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}.