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LCM of 839, 111, 902, 767, 442

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


Find the LCM of 839, 111, 902, 767, 442 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 839, 111, 902, 767, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 839,111,902,767,442

Given numbers are 839,111,902,767,442

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

The LCM of 839,111,902,767,442 is 1095306745962.

Find LCM of 839,111,902,767,442 with Prime Factorization


2 839, 111, 902, 767, 442
13 839, 111, 451, 767, 221
839, 111, 451, 59, 17

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

2 x 13 x 839 x 111 x 451 x 59 x 17 = 1095306745962

Therefore, the lowest common multiple of 839,111,902,767,442 is 1095306745962.

LCM Formula to Find Lowest Common Multiple of 839,111,902,767,442

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.

839 x 111 x 902 x 767 x 442 = 28477975395012

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.

839 : 1, 839

111 : 1, 3, 37, 111

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

767 : 1, 13, 59, 767

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,111,902,767,442, is 1.

Now, the common factors can be found like this.

839:839

111:3x 37

902:2x 11x 41

767:13x 59

442:2x 13x 17

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 28477975395012/(1x26)

LCM = 28477975395012/26

LCM = 1095306745962

Thus, we can understand that the LCM of 839,111,902,767,442 is 1095306745962.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 839, 111, 902, 767, 442

1. What is the LCM of 839, 111, 902, 767, 442?

Answer: LCM of 839, 111, 902, 767, 442 is 1095306745962.

2. How to calculate the LCM of 839, 111, 902, 767, 442?

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 839, 111, 902, 767, 442.

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}.