LCM of 572, 965, 969, 387, 372
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 965, 969, 387, 372 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 572, 965, 969, 387, 372. So, keep reading to learn more.
Given numbers are 572,965,969,387,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,965,969,387,372 is 2138939611380.
Find LCM of 572,965,969,387,372 with Prime Factorization
| 2 | 572, 965, 969, 387, 372 |
| 2 | 286, 965, 969, 387, 186 |
| 3 | 143, 965, 969, 387, 93 |
| 143, 965, 323, 129, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 143 x 965 x 323 x 129 x 31 = 2138939611380
Therefore, the lowest common multiple of 572,965,969,387,372 is 2138939611380.
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.
572 x 965 x 969 x 387 x 372 = 77001826009680
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
965 : 1, 5, 193, 965
969 : 1, 3, 17, 19, 51, 57, 323, 969
387 : 1, 3, 9, 43, 129, 387
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,965,969,387,372, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
965:5x 193
969:3x 17x 19
387:3x 3x 43
372:2x 2x 3x 31
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 3 = 36
Therefore, the value for common factors is 36.
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 = 77001826009680/(1x36)
LCM = 77001826009680/36
LCM = 2138939611380
Thus, we can understand that the LCM of 572,965,969,387,372 is 2138939611380.
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FAQs on LCM of 572, 965, 969, 387, 372
1. What is the LCM of 572, 965, 969, 387, 372?
Answer: LCM of 572, 965, 969, 387, 372 is 2138939611380.
2. How to calculate the LCM of 572, 965, 969, 387, 372?
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 572, 965, 969, 387, 372.
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}.