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LCM of 459, 790, 532, 979, 946

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


Find the LCM of 459, 790, 532, 979, 946 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 459, 790, 532, 979, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 459,790,532,979,946

Given numbers are 459,790,532,979,946

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

The LCM of 459,790,532,979,946 is 4060434983220.

Find LCM of 459,790,532,979,946 with Prime Factorization


2 459, 790, 532, 979, 946
11 459, 395, 266, 979, 473
459, 395, 266, 89, 43

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

2 x 11 x 459 x 395 x 266 x 89 x 43 = 4060434983220

Therefore, the lowest common multiple of 459,790,532,979,946 is 4060434983220.

LCM Formula to Find Lowest Common Multiple of 459,790,532,979,946

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.

459 x 790 x 532 x 979 x 946 = 178659139261680

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.

459 : 1, 3, 9, 17, 27, 51, 153, 459

790 : 1, 2, 5, 10, 79, 158, 395, 790

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

979 : 1, 11, 89, 979

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,790,532,979,946, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

790:2x 5x 79

532:2x 2x 7x 19

979:11x 89

946:2x 11x 43

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 11 = 44

Therefore, the value for common factors is 44.

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 = 178659139261680/(1x44)

LCM = 178659139261680/44

LCM = 4060434983220

Thus, we can understand that the LCM of 459,790,532,979,946 is 4060434983220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 459, 790, 532, 979, 946

1. What is the LCM of 459, 790, 532, 979, 946?

Answer: LCM of 459, 790, 532, 979, 946 is 4060434983220.

2. How to calculate the LCM of 459, 790, 532, 979, 946?

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 459, 790, 532, 979, 946.

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}.