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LCM of 180, 279, 836, 968, 971

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


Find the LCM of 180, 279, 836, 968, 971 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 180, 279, 836, 968, 971. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 180,279,836,968,971

Given numbers are 180,279,836,968,971

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

The LCM of 180,279,836,968,971 is 24912791640.

Find LCM of 180,279,836,968,971 with Prime Factorization


2 180, 279, 836, 968, 971
2 90, 279, 418, 484, 971
3 45, 279, 209, 242, 971
3 15, 93, 209, 242, 971
11 5, 31, 209, 242, 971
5, 31, 19, 22, 971

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

2 x 2 x 3 x 3 x 11 x 5 x 31 x 19 x 22 x 971 = 24912791640

Therefore, the lowest common multiple of 180,279,836,968,971 is 24912791640.

LCM Formula to Find Lowest Common Multiple of 180,279,836,968,971

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.

180 x 279 x 836 x 968 x 971 = 39461861957760

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

279 : 1, 3, 9, 31, 93, 279

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,279,836,968,971, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

279:3x 3x 31

836:2x 2x 11x 19

968:2x 2x 2x 11x 11

971:971

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 3x 11 = 1584

Therefore, the value for common factors is 1584.

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 = 39461861957760/(1x1584)

LCM = 39461861957760/1584

LCM = 24912791640

Thus, we can understand that the LCM of 180,279,836,968,971 is 24912791640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 180, 279, 836, 968, 971

1. What is the LCM of 180, 279, 836, 968, 971?

Answer: LCM of 180, 279, 836, 968, 971 is 24912791640.

2. How to calculate the LCM of 180, 279, 836, 968, 971?

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 180, 279, 836, 968, 971.

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}.