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LCM of 864, 970, 902, 839, 839

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


Find the LCM of 864, 970, 902, 839, 839 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 864, 970, 902, 839, 839. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 864,970,902,839,839

Given numbers are 864,970,902,839,839

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

The LCM of 864,970,902,839,839 is 158560126560.

Find LCM of 864,970,902,839,839 with Prime Factorization


2 864, 970, 902, 839, 839
839 432, 485, 451, 839, 839
432, 485, 451, 1, 1

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

2 x 839 x 432 x 485 x 451 x 1 x 1 = 158560126560

Therefore, the lowest common multiple of 864,970,902,839,839 is 158560126560.

LCM Formula to Find Lowest Common Multiple of 864,970,902,839,839

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.

864 x 970 x 902 x 839 x 839 = 532127784735360

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

970 : 1, 2, 5, 10, 97, 194, 485, 970

902 : 1, 2, 11, 22, 41, 82, 451, 902

839 : 1, 839

839 : 1, 839

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,970,902,839,839, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

970:2x 5x 97

902:2x 11x 41

839:839

839:839

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 839 = 3356

Therefore, the value for common factors is 3356.

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 = 532127784735360/(1x3356)

LCM = 532127784735360/3356

LCM = 158560126560

Thus, we can understand that the LCM of 864,970,902,839,839 is 158560126560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 864, 970, 902, 839, 839

1. What is the LCM of 864, 970, 902, 839, 839?

Answer: LCM of 864, 970, 902, 839, 839 is 158560126560.

2. How to calculate the LCM of 864, 970, 902, 839, 839?

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 864, 970, 902, 839, 839.

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}.