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LCM of 971, 440, 858, 796

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


Find the LCM of 971, 440, 858, 796 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 971, 440, 858, 796. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 971,440,858,796

Given numbers are 971,440,858,796

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

The LCM of 971,440,858,796 is 3315809640.

Find LCM of 971,440,858,796 with Prime Factorization


2 971, 440, 858, 796
2 971, 220, 429, 398
11 971, 110, 429, 199
971, 10, 39, 199

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

2 x 2 x 11 x 971 x 10 x 39 x 199 = 3315809640

Therefore, the lowest common multiple of 971,440,858,796 is 3315809640.

LCM Formula to Find Lowest Common Multiple of 971,440,858,796

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.

971 x 440 x 858 x 796 = 291791248320

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.

971 : 1, 971

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,440,858,796, is 1.

Now, the common factors can be found like this.

971:971

440:2x 2x 2x 5x 11

858:2x 3x 11x 13

796:2x 2x 199

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 11 = 88

Therefore, the value for common factors is 88.

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 = 291791248320/(1x88)

LCM = 291791248320/88

LCM = 3315809640

Thus, we can understand that the LCM of 971,440,858,796 is 3315809640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 971, 440, 858, 796

1. What is the LCM of 971, 440, 858, 796?

Answer: LCM of 971, 440, 858, 796 is 3315809640.

2. How to calculate the LCM of 971, 440, 858, 796?

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 971, 440, 858, 796.

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}.