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LCM of 279, 651, 217, 355

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


Find the LCM of 279, 651, 217, 355 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, 651, 217, 355. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 279,651,217,355

Given numbers are 279,651,217,355

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

The LCM of 279,651,217,355 is 693315.

Find LCM of 279,651,217,355 with Prime Factorization


3 279, 651, 217, 355
7 93, 217, 217, 355
31 93, 31, 31, 355
3, 1, 1, 355

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

3 x 7 x 31 x 3 x 1 x 1 x 355 = 693315

Therefore, the lowest common multiple of 279,651,217,355 is 693315.

LCM Formula to Find Lowest Common Multiple of 279,651,217,355

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 651 x 217 x 355 = 13991790015

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

651 : 1, 3, 7, 21, 31, 93, 217, 651

217 : 1, 7, 31, 217

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,651,217,355, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

651:3x 7x 31

217:7x 31

355:5x 71

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

3x 7x 31x 31 = 20181

Therefore, the value for common factors is 20181.

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 = 13991790015/(1x20181)

LCM = 13991790015/20181

LCM = 693315

Thus, we can understand that the LCM of 279,651,217,355 is 693315.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 279, 651, 217, 355

1. What is the LCM of 279, 651, 217, 355?

Answer: LCM of 279, 651, 217, 355 is 693315.

2. How to calculate the LCM of 279, 651, 217, 355?

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, 651, 217, 355.

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}.