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LCM of 879, 429, 616, 634

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


Find the LCM of 879, 429, 616, 634 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 879, 429, 616, 634. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 879,429,616,634

Given numbers are 879,429,616,634

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

The LCM of 879,429,616,634 is 2231373144.

Find LCM of 879,429,616,634 with Prime Factorization


2 879, 429, 616, 634
3 879, 429, 308, 317
11 293, 143, 308, 317
293, 13, 28, 317

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

2 x 3 x 11 x 293 x 13 x 28 x 317 = 2231373144

Therefore, the lowest common multiple of 879,429,616,634 is 2231373144.

LCM Formula to Find Lowest Common Multiple of 879,429,616,634

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.

879 x 429 x 616 x 634 = 147270627504

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.

879 : 1, 3, 293, 879

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

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,429,616,634, is 1.

Now, the common factors can be found like this.

879:3x 293

429:3x 11x 13

616:2x 2x 2x 7x 11

634:2x 317

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

2x 3x 11 = 66

Therefore, the value for common factors is 66.

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 = 147270627504/(1x66)

LCM = 147270627504/66

LCM = 2231373144

Thus, we can understand that the LCM of 879,429,616,634 is 2231373144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 879, 429, 616, 634

1. What is the LCM of 879, 429, 616, 634?

Answer: LCM of 879, 429, 616, 634 is 2231373144.

2. How to calculate the LCM of 879, 429, 616, 634?

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 879, 429, 616, 634.

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}.