LCM of 606, 387, 963, 931, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 387, 963, 931, 976 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 606, 387, 963, 931, 976. So, keep reading to learn more.
Given numbers are 606,387,963,931,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,387,963,931,976 is 3800280166704.
Find LCM of 606,387,963,931,976 with Prime Factorization
| 2 | 606, 387, 963, 931, 976 |
| 3 | 303, 387, 963, 931, 488 |
| 3 | 101, 129, 321, 931, 488 |
| 101, 43, 107, 931, 488 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 101 x 43 x 107 x 931 x 488 = 3800280166704
Therefore, the lowest common multiple of 606,387,963,931,976 is 3800280166704.
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.
606 x 387 x 963 x 931 x 976 = 205215129002016
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
387 : 1, 3, 9, 43, 129, 387
963 : 1, 3, 9, 107, 321, 963
931 : 1, 7, 19, 49, 133, 931
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,387,963,931,976, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
387:3x 3x 43
963:3x 3x 107
931:7x 7x 19
976:2x 2x 2x 2x 61
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 3 = 54
Therefore, the value for common factors is 54.
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 = 205215129002016/(1x54)
LCM = 205215129002016/54
LCM = 3800280166704
Thus, we can understand that the LCM of 606,387,963,931,976 is 3800280166704.
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FAQs on LCM of 606, 387, 963, 931, 976
1. What is the LCM of 606, 387, 963, 931, 976?
Answer: LCM of 606, 387, 963, 931, 976 is 3800280166704.
2. How to calculate the LCM of 606, 387, 963, 931, 976?
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 606, 387, 963, 931, 976.
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}.