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LCM of 556, 418, 731, 981

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


Find the LCM of 556, 418, 731, 981 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 556, 418, 731, 981. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 556,418,731,981

Given numbers are 556,418,731,981

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

The LCM of 556,418,731,981 is 83331166644.

Find LCM of 556,418,731,981 with Prime Factorization


2 556, 418, 731, 981
278, 209, 731, 981

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

2 x 278 x 209 x 731 x 981 = 83331166644

Therefore, the lowest common multiple of 556,418,731,981 is 83331166644.

LCM Formula to Find Lowest Common Multiple of 556,418,731,981

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.

556 x 418 x 731 x 981 = 166662333288

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.

556 : 1, 2, 4, 139, 278, 556

418 : 1, 2, 11, 19, 22, 38, 209, 418

731 : 1, 17, 43, 731

981 : 1, 3, 9, 109, 327, 981

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,418,731,981, is 1.

Now, the common factors can be found like this.

556:2x 2x 139

418:2x 11x 19

731:17x 43

981:3x 3x 109

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

2 = 2

Therefore, the value for common factors is 2.

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 = 166662333288/(1x2)

LCM = 166662333288/2

LCM = 83331166644

Thus, we can understand that the LCM of 556,418,731,981 is 83331166644.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 556, 418, 731, 981

1. What is the LCM of 556, 418, 731, 981?

Answer: LCM of 556, 418, 731, 981 is 83331166644.

2. How to calculate the LCM of 556, 418, 731, 981?

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 556, 418, 731, 981.

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}.