LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 108, 597, 957, 870

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


Find the LCM of 108, 597, 957, 870 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 108, 597, 957, 870. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 108,597,957,870

Given numbers are 108,597,957,870

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

The LCM of 108,597,957,870 is 34279740.

Find LCM of 108,597,957,870 with Prime Factorization


2 108, 597, 957, 870
3 54, 597, 957, 435
29 18, 199, 319, 145
18, 199, 11, 5

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

2 x 3 x 29 x 18 x 199 x 11 x 5 = 34279740

Therefore, the lowest common multiple of 108,597,957,870 is 34279740.

LCM Formula to Find Lowest Common Multiple of 108,597,957,870

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.

108 x 597 x 957 x 870 = 53682072840

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.

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

597 : 1, 3, 199, 597

957 : 1, 3, 11, 29, 33, 87, 319, 957

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,597,957,870, is 3.

Now, the common factors can be found like this.

108:2x 2x 3x 3x 3

597:3x 199

957:3x 11x 29

870:2x 3x 5x 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 3x 3x 29 = 522

Therefore, the value for common factors is 522.

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 = 53682072840/(3x522)

LCM = 53682072840/1566

LCM = 34279740

Thus, we can understand that the LCM of 108,597,957,870 is 34279740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 108, 597, 957, 870

1. What is the LCM of 108, 597, 957, 870?

Answer: LCM of 108, 597, 957, 870 is 34279740.

2. How to calculate the LCM of 108, 597, 957, 870?

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 108, 597, 957, 870.

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}.