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LCM of 989, 253, 215, 857

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


Find the LCM of 989, 253, 215, 857 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 989, 253, 215, 857. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,253,215,857

Given numbers are 989,253,215,857

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

The LCM of 989,253,215,857 is 46616515.

Find LCM of 989,253,215,857 with Prime Factorization


23 989, 253, 215, 857
43 43, 11, 215, 857
1, 11, 5, 857

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

23 x 43 x 1 x 11 x 5 x 857 = 46616515

Therefore, the lowest common multiple of 989,253,215,857 is 46616515.

LCM Formula to Find Lowest Common Multiple of 989,253,215,857

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.

989 x 253 x 215 x 857 = 46103733335

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.

989 : 1, 23, 43, 989

253 : 1, 11, 23, 253

215 : 1, 5, 43, 215

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,253,215,857, is 1.

Now, the common factors can be found like this.

989:23x 43

253:11x 23

215:5x 43

857:857

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

23x 43 = 989

Therefore, the value for common factors is 989.

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 = 46103733335/(1x989)

LCM = 46103733335/989

LCM = 46616515

Thus, we can understand that the LCM of 989,253,215,857 is 46616515.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 253, 215, 857

1. What is the LCM of 989, 253, 215, 857?

Answer: LCM of 989, 253, 215, 857 is 46616515.

2. How to calculate the LCM of 989, 253, 215, 857?

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 989, 253, 215, 857.

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}.