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LCM of 721, 721, 317, 684

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


Find the LCM of 721, 721, 317, 684 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 721, 721, 317, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 721,721,317,684

Given numbers are 721,721,317,684

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

The LCM of 721,721,317,684 is 156332988.

Find LCM of 721,721,317,684 with Prime Factorization


7 721, 721, 317, 684
103 103, 103, 317, 684
1, 1, 317, 684

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

7 x 103 x 1 x 1 x 317 x 684 = 156332988

Therefore, the lowest common multiple of 721,721,317,684 is 156332988.

LCM Formula to Find Lowest Common Multiple of 721,721,317,684

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.

721 x 721 x 317 x 684 = 112716084348

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.

721 : 1, 7, 103, 721

721 : 1, 7, 103, 721

317 : 1, 317

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,721,317,684, is 1.

Now, the common factors can be found like this.

721:7x 103

721:7x 103

317:317

684:2x 2x 3x 3x 19

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

7x 103 = 721

Therefore, the value for common factors is 721.

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 = 112716084348/(1x721)

LCM = 112716084348/721

LCM = 156332988

Thus, we can understand that the LCM of 721,721,317,684 is 156332988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 721, 721, 317, 684

1. What is the LCM of 721, 721, 317, 684?

Answer: LCM of 721, 721, 317, 684 is 156332988.

2. How to calculate the LCM of 721, 721, 317, 684?

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 721, 721, 317, 684.

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}.