LCM of 977, 330, 606, 495, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 977, 330, 606, 495, 979 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 977, 330, 606, 495, 979. So, keep reading to learn more.
Given numbers are 977,330,606,495,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 977,330,606,495,979 is 8694430470.
Find LCM of 977,330,606,495,979 with Prime Factorization
| 2 | 977, 330, 606, 495, 979 |
| 3 | 977, 165, 303, 495, 979 |
| 5 | 977, 55, 101, 165, 979 |
| 11 | 977, 11, 101, 33, 979 |
| 977, 1, 101, 3, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 977 x 1 x 101 x 3 x 89 = 8694430470
Therefore, the lowest common multiple of 977,330,606,495,979 is 8694430470.
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.
977 x 330 x 606 x 495 x 979 = 94682347818300
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.
977 : 1, 977
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
606 : 1, 2, 3, 6, 101, 202, 303, 606
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,330,606,495,979, is 1.
Now, the common factors can be found like this.
977:977
330:2x 3x 5x 11
606:2x 3x 101
495:3x 3x 5x 11
979:11x 89
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 3x 5x 11x 11 = 10890
Therefore, the value for common factors is 10890.
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 = 94682347818300/(1x10890)
LCM = 94682347818300/10890
LCM = 8694430470
Thus, we can understand that the LCM of 977,330,606,495,979 is 8694430470.
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FAQs on LCM of 977, 330, 606, 495, 979
1. What is the LCM of 977, 330, 606, 495, 979?
Answer: LCM of 977, 330, 606, 495, 979 is 8694430470.
2. How to calculate the LCM of 977, 330, 606, 495, 979?
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 977, 330, 606, 495, 979.
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}.