LCM of 951, 657, 660, 585, 743
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 951, 657, 660, 585, 743 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 951, 657, 660, 585, 743. So, keep reading to learn more.
Given numbers are 951,657,660,585,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,657,660,585,743 is 442567459620.
Find LCM of 951,657,660,585,743 with Prime Factorization
| 3 | 951, 657, 660, 585, 743 |
| 3 | 317, 219, 220, 195, 743 |
| 5 | 317, 73, 220, 65, 743 |
| 317, 73, 44, 13, 743 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 317 x 73 x 44 x 13 x 743 = 442567459620
Therefore, the lowest common multiple of 951,657,660,585,743 is 442567459620.
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.
951 x 657 x 660 x 585 x 743 = 179239821146100
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.
951 : 1, 3, 317, 951
657 : 1, 3, 9, 73, 219, 657
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,657,660,585,743, is 1.
Now, the common factors can be found like this.
951:3x 317
657:3x 3x 73
660:2x 2x 3x 5x 11
585:3x 3x 5x 13
743:743
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5 = 405
Therefore, the value for common factors is 405.
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 = 179239821146100/(1x405)
LCM = 179239821146100/405
LCM = 442567459620
Thus, we can understand that the LCM of 951,657,660,585,743 is 442567459620.
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FAQs on LCM of 951, 657, 660, 585, 743
1. What is the LCM of 951, 657, 660, 585, 743?
Answer: LCM of 951, 657, 660, 585, 743 is 442567459620.
2. How to calculate the LCM of 951, 657, 660, 585, 743?
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 951, 657, 660, 585, 743.
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}.