LCM of 971, 793, 429, 732, 617
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 793, 429, 732, 617 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 971, 793, 429, 732, 617. So, keep reading to learn more.
Given numbers are 971,793,429,732,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,793,429,732,617 is 62712124332.
Find LCM of 971,793,429,732,617 with Prime Factorization
| 3 | 971, 793, 429, 732, 617 |
| 13 | 971, 793, 143, 244, 617 |
| 61 | 971, 61, 11, 244, 617 |
| 971, 1, 11, 4, 617 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 61 x 971 x 1 x 11 x 4 x 617 = 62712124332
Therefore, the lowest common multiple of 971,793,429,732,617 is 62712124332.
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.
971 x 793 x 429 x 732 x 617 = 149192143785828
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.
971 : 1, 971
793 : 1, 13, 61, 793
429 : 1, 3, 11, 13, 33, 39, 143, 429
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,793,429,732,617, is 1.
Now, the common factors can be found like this.
971:971
793:13x 61
429:3x 11x 13
732:2x 2x 3x 61
617:617
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 61 = 2379
Therefore, the value for common factors is 2379.
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 = 149192143785828/(1x2379)
LCM = 149192143785828/2379
LCM = 62712124332
Thus, we can understand that the LCM of 971,793,429,732,617 is 62712124332.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 971, 793, 429, 732, 617
1. What is the LCM of 971, 793, 429, 732, 617?
Answer: LCM of 971, 793, 429, 732, 617 is 62712124332.
2. How to calculate the LCM of 971, 793, 429, 732, 617?
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 971, 793, 429, 732, 617.
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}.