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LCM of 827, 557, 946, 748, 484

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


Find the LCM of 827, 557, 946, 748, 484 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 827, 557, 946, 748, 484. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 827,557,946,748,484

Given numbers are 827,557,946,748,484

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

The LCM of 827,557,946,748,484 is 162975920756.

Find LCM of 827,557,946,748,484 with Prime Factorization


2 827, 557, 946, 748, 484
2 827, 557, 473, 374, 242
11 827, 557, 473, 187, 121
827, 557, 43, 17, 11

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

2 x 2 x 11 x 827 x 557 x 43 x 17 x 11 = 162975920756

Therefore, the lowest common multiple of 827,557,946,748,484 is 162975920756.

LCM Formula to Find Lowest Common Multiple of 827,557,946,748,484

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.

827 x 557 x 946 x 748 x 484 = 157760691291808

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.

827 : 1, 827

557 : 1, 557

946 : 1, 2, 11, 22, 43, 86, 473, 946

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

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,557,946,748,484, is 1.

Now, the common factors can be found like this.

827:827

557:557

946:2x 11x 43

748:2x 2x 11x 17

484:2x 2x 11x 11

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 157760691291808/(1x968)

LCM = 157760691291808/968

LCM = 162975920756

Thus, we can understand that the LCM of 827,557,946,748,484 is 162975920756.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 827, 557, 946, 748, 484

1. What is the LCM of 827, 557, 946, 748, 484?

Answer: LCM of 827, 557, 946, 748, 484 is 162975920756.

2. How to calculate the LCM of 827, 557, 946, 748, 484?

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 827, 557, 946, 748, 484.

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}.