LCM of 705, 989, 730, 506, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 989, 730, 506, 957 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 705, 989, 730, 506, 957. So, keep reading to learn more.
Given numbers are 705,989,730,506,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,989,730,506,957 is 32473488630.
Find LCM of 705,989,730,506,957 with Prime Factorization
| 2 | 705, 989, 730, 506, 957 |
| 3 | 705, 989, 365, 253, 957 |
| 5 | 235, 989, 365, 253, 319 |
| 11 | 47, 989, 73, 253, 319 |
| 23 | 47, 989, 73, 23, 29 |
| 47, 43, 73, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 23 x 47 x 43 x 73 x 1 x 29 = 32473488630
Therefore, the lowest common multiple of 705,989,730,506,957 is 32473488630.
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.
705 x 989 x 730 x 506 x 957 = 246473778701700
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
989 : 1, 23, 43, 989
730 : 1, 2, 5, 10, 73, 146, 365, 730
506 : 1, 2, 11, 22, 23, 46, 253, 506
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,989,730,506,957, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
989:23x 43
730:2x 5x 73
506:2x 11x 23
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 11x 23 = 7590
Therefore, the value for common factors is 7590.
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 = 246473778701700/(1x7590)
LCM = 246473778701700/7590
LCM = 32473488630
Thus, we can understand that the LCM of 705,989,730,506,957 is 32473488630.
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FAQs on LCM of 705, 989, 730, 506, 957
1. What is the LCM of 705, 989, 730, 506, 957?
Answer: LCM of 705, 989, 730, 506, 957 is 32473488630.
2. How to calculate the LCM of 705, 989, 730, 506, 957?
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 705, 989, 730, 506, 957.
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}.