LCM of 740, 572, 989, 516, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 572, 989, 516, 585 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 740, 572, 989, 516, 585. So, keep reading to learn more.
Given numbers are 740,572,989,516,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,572,989,516,585 is 941903820.
Find LCM of 740,572,989,516,585 with Prime Factorization
| 2 | 740, 572, 989, 516, 585 |
| 2 | 370, 286, 989, 258, 585 |
| 3 | 185, 143, 989, 129, 585 |
| 5 | 185, 143, 989, 43, 195 |
| 13 | 37, 143, 989, 43, 39 |
| 43 | 37, 11, 989, 43, 3 |
| 37, 11, 23, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 43 x 37 x 11 x 23 x 1 x 3 = 941903820
Therefore, the lowest common multiple of 740,572,989,516,585 is 941903820.
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.
740 x 572 x 989 x 516 x 585 = 126365816491200
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
989 : 1, 23, 43, 989
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,572,989,516,585, is 1.
Now, the common factors can be found like this.
740:2x 2x 5x 37
572:2x 2x 11x 13
989:23x 43
516:2x 2x 3x 43
585:3x 3x 5x 13
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 2x 3x 5x 13x 43 = 134160
Therefore, the value for common factors is 134160.
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 = 126365816491200/(1x134160)
LCM = 126365816491200/134160
LCM = 941903820
Thus, we can understand that the LCM of 740,572,989,516,585 is 941903820.
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FAQs on LCM of 740, 572, 989, 516, 585
1. What is the LCM of 740, 572, 989, 516, 585?
Answer: LCM of 740, 572, 989, 516, 585 is 941903820.
2. How to calculate the LCM of 740, 572, 989, 516, 585?
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 740, 572, 989, 516, 585.
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}.