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LCM of 989, 663, 731, 926

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


Find the LCM of 989, 663, 731, 926 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 989, 663, 731, 926. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,663,731,926

Given numbers are 989,663,731,926

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

The LCM of 989,663,731,926 is 607184682.

Find LCM of 989,663,731,926 with Prime Factorization


17 989, 663, 731, 926
43 989, 39, 43, 926
23, 39, 1, 926

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

17 x 43 x 23 x 39 x 1 x 926 = 607184682

Therefore, the lowest common multiple of 989,663,731,926 is 607184682.

LCM Formula to Find Lowest Common Multiple of 989,663,731,926

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.

989 x 663 x 731 x 926 = 443852002542

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.

989 : 1, 23, 43, 989

663 : 1, 3, 13, 17, 39, 51, 221, 663

731 : 1, 17, 43, 731

926 : 1, 2, 463, 926

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,663,731,926, is 1.

Now, the common factors can be found like this.

989:23x 43

663:3x 13x 17

731:17x 43

926:2x 463

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

17x 43 = 731

Therefore, the value for common factors is 731.

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 = 443852002542/(1x731)

LCM = 443852002542/731

LCM = 607184682

Thus, we can understand that the LCM of 989,663,731,926 is 607184682.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 663, 731, 926

1. What is the LCM of 989, 663, 731, 926?

Answer: LCM of 989, 663, 731, 926 is 607184682.

2. How to calculate the LCM of 989, 663, 731, 926?

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 989, 663, 731, 926.

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}.