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LCM of 312, 992, 946, 829

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


Find the LCM of 312, 992, 946, 829 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 312, 992, 946, 829. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,992,946,829

Given numbers are 312,992,946,829

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

The LCM of 312,992,946,829 is 15170222496.

Find LCM of 312,992,946,829 with Prime Factorization


2 312, 992, 946, 829
2 156, 496, 473, 829
2 78, 248, 473, 829
39, 124, 473, 829

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

2 x 2 x 2 x 39 x 124 x 473 x 829 = 15170222496

Therefore, the lowest common multiple of 312,992,946,829 is 15170222496.

LCM Formula to Find Lowest Common Multiple of 312,992,946,829

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.

312 x 992 x 946 x 829 = 242723559936

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,992,946,829, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

992:2x 2x 2x 2x 2x 31

946:2x 11x 43

829:829

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 242723559936/(1x16)

LCM = 242723559936/16

LCM = 15170222496

Thus, we can understand that the LCM of 312,992,946,829 is 15170222496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 992, 946, 829

1. What is the LCM of 312, 992, 946, 829?

Answer: LCM of 312, 992, 946, 829 is 15170222496.

2. How to calculate the LCM of 312, 992, 946, 829?

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 312, 992, 946, 829.

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}.