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LCM of 724, 217, 851, 279

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


Find the LCM of 724, 217, 851, 279 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 724, 217, 851, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,217,851,279

Given numbers are 724,217,851,279

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

The LCM of 724,217,851,279 is 1203290172.

Find LCM of 724,217,851,279 with Prime Factorization


31 724, 217, 851, 279
724, 7, 851, 9

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

31 x 724 x 7 x 851 x 9 = 1203290172

Therefore, the lowest common multiple of 724,217,851,279 is 1203290172.

LCM Formula to Find Lowest Common Multiple of 724,217,851,279

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.

724 x 217 x 851 x 279 = 37301995332

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.

724 : 1, 2, 4, 181, 362, 724

217 : 1, 7, 31, 217

851 : 1, 23, 37, 851

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,217,851,279, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

217:7x 31

851:23x 37

279:3x 3x 31

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

31 = 31

Therefore, the value for common factors is 31.

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 = 37301995332/(1x31)

LCM = 37301995332/31

LCM = 1203290172

Thus, we can understand that the LCM of 724,217,851,279 is 1203290172.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 217, 851, 279

1. What is the LCM of 724, 217, 851, 279?

Answer: LCM of 724, 217, 851, 279 is 1203290172.

2. How to calculate the LCM of 724, 217, 851, 279?

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 724, 217, 851, 279.

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}.