LCM of 979, 416, 739, 217, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 416, 739, 217, 572 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 979, 416, 739, 217, 572. So, keep reading to learn more.
Given numbers are 979,416,739,217,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,416,739,217,572 is 65310076832.
Find LCM of 979,416,739,217,572 with Prime Factorization
| 2 | 979, 416, 739, 217, 572 |
| 2 | 979, 208, 739, 217, 286 |
| 11 | 979, 104, 739, 217, 143 |
| 13 | 89, 104, 739, 217, 13 |
| 89, 8, 739, 217, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 89 x 8 x 739 x 217 x 1 = 65310076832
Therefore, the lowest common multiple of 979,416,739,217,572 is 65310076832.
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.
979 x 416 x 739 x 217 x 572 = 37357363947904
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.
979 : 1, 11, 89, 979
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
739 : 1, 739
217 : 1, 7, 31, 217
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,416,739,217,572, is 1.
Now, the common factors can be found like this.
979:11x 89
416:2x 2x 2x 2x 2x 13
739:739
217:7x 31
572:2x 2x 11x 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 11x 13 = 572
Therefore, the value for common factors is 572.
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 = 37357363947904/(1x572)
LCM = 37357363947904/572
LCM = 65310076832
Thus, we can understand that the LCM of 979,416,739,217,572 is 65310076832.
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FAQs on LCM of 979, 416, 739, 217, 572
1. What is the LCM of 979, 416, 739, 217, 572?
Answer: LCM of 979, 416, 739, 217, 572 is 65310076832.
2. How to calculate the LCM of 979, 416, 739, 217, 572?
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 979, 416, 739, 217, 572.
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}.