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LCM of 121, 473, 946, 429, 595

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


Find the LCM of 121, 473, 946, 429, 595 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 121, 473, 946, 429, 595. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,473,946,429,595

Given numbers are 121,473,946,429,595

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

The LCM of 121,473,946,429,595 is 241471230.

Find LCM of 121,473,946,429,595 with Prime Factorization


11 121, 473, 946, 429, 595
43 11, 43, 86, 39, 595
11, 1, 2, 39, 595

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

11 x 43 x 11 x 1 x 2 x 39 x 595 = 241471230

Therefore, the lowest common multiple of 121,473,946,429,595 is 241471230.

LCM Formula to Find Lowest Common Multiple of 121,473,946,429,595

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.

121 x 473 x 946 x 429 x 595 = 13820122906590

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.

121 : 1, 11, 121

473 : 1, 11, 43, 473

946 : 1, 2, 11, 22, 43, 86, 473, 946

429 : 1, 3, 11, 13, 33, 39, 143, 429

595 : 1, 5, 7, 17, 35, 85, 119, 595

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,473,946,429,595, is 1.

Now, the common factors can be found like this.

121:11x 11

473:11x 43

946:2x 11x 43

429:3x 11x 13

595:5x 7x 17

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

11x 11x 11x 43 = 57233

Therefore, the value for common factors is 57233.

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 = 13820122906590/(1x57233)

LCM = 13820122906590/57233

LCM = 241471230

Thus, we can understand that the LCM of 121,473,946,429,595 is 241471230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 473, 946, 429, 595

1. What is the LCM of 121, 473, 946, 429, 595?

Answer: LCM of 121, 473, 946, 429, 595 is 241471230.

2. How to calculate the LCM of 121, 473, 946, 429, 595?

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 121, 473, 946, 429, 595.

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}.