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LCM of 279, 756, 853, 447, 658

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


Find the LCM of 279, 756, 853, 447, 658 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 279, 756, 853, 447, 658. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 279,756,853,447,658

Given numbers are 279,756,853,447,658

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

The LCM of 279,756,853,447,658 is 139996328724.

Find LCM of 279,756,853,447,658 with Prime Factorization


2 279, 756, 853, 447, 658
3 279, 378, 853, 447, 329
3 93, 126, 853, 149, 329
7 31, 42, 853, 149, 329
31, 6, 853, 149, 47

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

2 x 3 x 3 x 7 x 31 x 6 x 853 x 149 x 47 = 139996328724

Therefore, the lowest common multiple of 279,756,853,447,658 is 139996328724.

LCM Formula to Find Lowest Common Multiple of 279,756,853,447,658

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.

279 x 756 x 853 x 447 x 658 = 52918612257672

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.

279 : 1, 3, 9, 31, 93, 279

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

853 : 1, 853

447 : 1, 3, 149, 447

658 : 1, 2, 7, 14, 47, 94, 329, 658

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,756,853,447,658, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

756:2x 2x 3x 3x 3x 7

853:853

447:3x 149

658:2x 7x 47

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 3x 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 52918612257672/(1x378)

LCM = 52918612257672/378

LCM = 139996328724

Thus, we can understand that the LCM of 279,756,853,447,658 is 139996328724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 279, 756, 853, 447, 658

1. What is the LCM of 279, 756, 853, 447, 658?

Answer: LCM of 279, 756, 853, 447, 658 is 139996328724.

2. How to calculate the LCM of 279, 756, 853, 447, 658?

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 279, 756, 853, 447, 658.

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}.