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 957, 164, 613, 442, 461

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


Find the LCM of 957, 164, 613, 442, 461 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 957, 164, 613, 442, 461. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,164,613,442,461

Given numbers are 957,164,613,442,461

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

The LCM of 957,164,613,442,461 is 9801881762244.

Find LCM of 957,164,613,442,461 with Prime Factorization


2 957, 164, 613, 442, 461
957, 82, 613, 221, 461

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

2 x 957 x 82 x 613 x 221 x 461 = 9801881762244

Therefore, the lowest common multiple of 957,164,613,442,461 is 9801881762244.

LCM Formula to Find Lowest Common Multiple of 957,164,613,442,461

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.

957 x 164 x 613 x 442 x 461 = 19603763524488

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.

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

164 : 1, 2, 4, 41, 82, 164

613 : 1, 613

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

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,164,613,442,461, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

164:2x 2x 41

613:613

442:2x 13x 17

461:461

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

2 = 2

Therefore, the value for common factors is 2.

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 = 19603763524488/(1x2)

LCM = 19603763524488/2

LCM = 9801881762244

Thus, we can understand that the LCM of 957,164,613,442,461 is 9801881762244.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 164, 613, 442, 461

1. What is the LCM of 957, 164, 613, 442, 461?

Answer: LCM of 957, 164, 613, 442, 461 is 9801881762244.

2. How to calculate the LCM of 957, 164, 613, 442, 461?

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 957, 164, 613, 442, 461.

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}.