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LCM of 887, 956, 839, 302, 986

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


Find the LCM of 887, 956, 839, 302, 986 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 887, 956, 839, 302, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 887,956,839,302,986

Given numbers are 887,956,839,302,986

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

The LCM of 887,956,839,302,986 is 52962361281044.

Find LCM of 887,956,839,302,986 with Prime Factorization


2 887, 956, 839, 302, 986
887, 478, 839, 151, 493

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

2 x 887 x 478 x 839 x 151 x 493 = 52962361281044

Therefore, the lowest common multiple of 887,956,839,302,986 is 52962361281044.

LCM Formula to Find Lowest Common Multiple of 887,956,839,302,986

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.

887 x 956 x 839 x 302 x 986 = 211849445124176

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.

887 : 1, 887

956 : 1, 2, 4, 239, 478, 956

839 : 1, 839

302 : 1, 2, 151, 302

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,956,839,302,986, is 1.

Now, the common factors can be found like this.

887:887

956:2x 2x 239

839:839

302:2x 151

986:2x 17x 29

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 211849445124176/(1x4)

LCM = 211849445124176/4

LCM = 52962361281044

Thus, we can understand that the LCM of 887,956,839,302,986 is 52962361281044.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 887, 956, 839, 302, 986

1. What is the LCM of 887, 956, 839, 302, 986?

Answer: LCM of 887, 956, 839, 302, 986 is 52962361281044.

2. How to calculate the LCM of 887, 956, 839, 302, 986?

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 887, 956, 839, 302, 986.

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}.