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LCM of 645, 248, 558, 796, 971

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


Find the LCM of 645, 248, 558, 796, 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 645, 248, 558, 796, 971. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 645,248,558,796,971

Given numbers are 645,248,558,796,971

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

The LCM of 645,248,558,796,971 is 92726732520.

Find LCM of 645,248,558,796,971 with Prime Factorization


2 645, 248, 558, 796, 971
2 645, 124, 279, 398, 971
3 645, 62, 279, 199, 971
31 215, 62, 93, 199, 971
215, 2, 3, 199, 971

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

2 x 2 x 3 x 31 x 215 x 2 x 3 x 199 x 971 = 92726732520

Therefore, the lowest common multiple of 645,248,558,796,971 is 92726732520.

LCM Formula to Find Lowest Common Multiple of 645,248,558,796,971

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.

645 x 248 x 558 x 796 x 971 = 68988688994880

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

248 : 1, 2, 4, 8, 31, 62, 124, 248

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

796 : 1, 2, 4, 199, 398, 796

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,248,558,796,971, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

248:2x 2x 2x 31

558:2x 3x 3x 31

796:2x 2x 199

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 3x 31 = 744

Therefore, the value for common factors is 744.

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 = 68988688994880/(1x744)

LCM = 68988688994880/744

LCM = 92726732520

Thus, we can understand that the LCM of 645,248,558,796,971 is 92726732520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 645, 248, 558, 796, 971

1. What is the LCM of 645, 248, 558, 796, 971?

Answer: LCM of 645, 248, 558, 796, 971 is 92726732520.

2. How to calculate the LCM of 645, 248, 558, 796, 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 645, 248, 558, 796, 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}.