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 913, 117, 221, 364

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


Find the LCM of 913, 117, 221, 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 913, 117, 221, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 913,117,221,364

Given numbers are 913,117,221,364

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

The LCM of 913,117,221,364 is 50846796.

Find LCM of 913,117,221,364 with Prime Factorization


13 913, 117, 221, 364
913, 9, 17, 28

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

13 x 913 x 9 x 17 x 28 = 50846796

Therefore, the lowest common multiple of 913,117,221,364 is 50846796.

LCM Formula to Find Lowest Common Multiple of 913,117,221,364

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.

913 x 117 x 221 x 364 = 8593108524

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.

913 : 1, 11, 83, 913

117 : 1, 3, 9, 13, 39, 117

221 : 1, 13, 17, 221

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 913,117,221,364, is 1.

Now, the common factors can be found like this.

913:11x 83

117:3x 3x 13

221:13x 17

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.

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 8593108524/(1x169)

LCM = 8593108524/169

LCM = 50846796

Thus, we can understand that the LCM of 913,117,221,364 is 50846796.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 913, 117, 221, 364

1. What is the LCM of 913, 117, 221, 364?

Answer: LCM of 913, 117, 221, 364 is 50846796.

2. How to calculate the LCM of 913, 117, 221, 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 913, 117, 221, 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}.