LCM of 721, 652, 204, 618, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 652, 204, 618, 815 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, 652, 204, 618, 815. So, keep reading to learn more.
Given numbers are 721,652,204,618,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,652,204,618,815 is 119873460.
Find LCM of 721,652,204,618,815 with Prime Factorization
| 2 | 721, 652, 204, 618, 815 |
| 2 | 721, 326, 102, 309, 815 |
| 3 | 721, 163, 51, 309, 815 |
| 103 | 721, 163, 17, 103, 815 |
| 163 | 7, 163, 17, 1, 815 |
| 7, 1, 17, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 103 x 163 x 7 x 1 x 17 x 1 x 5 = 119873460
Therefore, the lowest common multiple of 721,652,204,618,815 is 119873460.
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 652 x 204 x 618 x 815 = 48301332478560
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
652 : 1, 2, 4, 163, 326, 652
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
618 : 1, 2, 3, 6, 103, 206, 309, 618
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,652,204,618,815, is 1.
Now, the common factors can be found like this.
721:7x 103
652:2x 2x 163
204:2x 2x 3x 17
618:2x 3x 103
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 103x 163 = 402936
Therefore, the value for common factors is 402936.
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 = 48301332478560/(1x402936)
LCM = 48301332478560/402936
LCM = 119873460
Thus, we can understand that the LCM of 721,652,204,618,815 is 119873460.
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FAQs on LCM of 721, 652, 204, 618, 815
1. What is the LCM of 721, 652, 204, 618, 815?
Answer: LCM of 721, 652, 204, 618, 815 is 119873460.
2. How to calculate the LCM of 721, 652, 204, 618, 815?
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, 652, 204, 618, 815.
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}.