LCM of 957, 786, 748, 542, 647
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 786, 748, 542, 647 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 957, 786, 748, 542, 647. So, keep reading to learn more.
Given numbers are 957,786,748,542,647
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,786,748,542,647 is 1494740210172.
Find LCM of 957,786,748,542,647 with Prime Factorization
| 2 | 957, 786, 748, 542, 647 |
| 3 | 957, 393, 374, 271, 647 |
| 11 | 319, 131, 374, 271, 647 |
| 29, 131, 34, 271, 647 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 131 x 34 x 271 x 647 = 1494740210172
Therefore, the lowest common multiple of 957,786,748,542,647 is 1494740210172.
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.
957 x 786 x 748 x 542 x 647 = 197305707742704
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
786 : 1, 2, 3, 6, 131, 262, 393, 786
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
542 : 1, 2, 271, 542
647 : 1, 647
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,786,748,542,647, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
786:2x 3x 131
748:2x 2x 11x 17
542:2x 271
647:647
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 197305707742704/(1x132)
LCM = 197305707742704/132
LCM = 1494740210172
Thus, we can understand that the LCM of 957,786,748,542,647 is 1494740210172.
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FAQs on LCM of 957, 786, 748, 542, 647
1. What is the LCM of 957, 786, 748, 542, 647?
Answer: LCM of 957, 786, 748, 542, 647 is 1494740210172.
2. How to calculate the LCM of 957, 786, 748, 542, 647?
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 957, 786, 748, 542, 647.
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}.