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 961, 242, 242, 364

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


Find the LCM of 961, 242, 242, 364 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 961, 242, 242, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,242,242,364

Given numbers are 961,242,242,364

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

The LCM of 961,242,242,364 is 42326284.

Find LCM of 961,242,242,364 with Prime Factorization


2 961, 242, 242, 364
11 961, 121, 121, 182
11 961, 11, 11, 182
961, 1, 1, 182

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

2 x 11 x 11 x 961 x 1 x 1 x 182 = 42326284

Therefore, the lowest common multiple of 961,242,242,364 is 42326284.

LCM Formula to Find Lowest Common Multiple of 961,242,242,364

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.

961 x 242 x 242 x 364 = 20485921456

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.

961 : 1, 31, 961

242 : 1, 2, 11, 22, 121, 242

242 : 1, 2, 11, 22, 121, 242

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,242,242,364, is 1.

Now, the common factors can be found like this.

961:31x 31

242:2x 11x 11

242:2x 11x 11

364:2x 2x 7x 13

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

2x 2x 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 20485921456/(1x484)

LCM = 20485921456/484

LCM = 42326284

Thus, we can understand that the LCM of 961,242,242,364 is 42326284.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 242, 242, 364

1. What is the LCM of 961, 242, 242, 364?

Answer: LCM of 961, 242, 242, 364 is 42326284.

2. How to calculate the LCM of 961, 242, 242, 364?

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 961, 242, 242, 364.

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}.