LCM of 572, 901, 314, 272, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 901, 314, 272, 981 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, 901, 314, 272, 981. So, keep reading to learn more.
Given numbers are 572,901,314,272,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,901,314,272,981 is 317504197296.
Find LCM of 572,901,314,272,981 with Prime Factorization
| 2 | 572, 901, 314, 272, 981 |
| 2 | 286, 901, 157, 136, 981 |
| 17 | 143, 901, 157, 68, 981 |
| 143, 53, 157, 4, 981 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 143 x 53 x 157 x 4 x 981 = 317504197296
Therefore, the lowest common multiple of 572,901,314,272,981 is 317504197296.
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 901 x 314 x 272 x 981 = 43180570832256
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
901 : 1, 17, 53, 901
314 : 1, 2, 157, 314
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,901,314,272,981, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
901:17x 53
314:2x 157
272:2x 2x 2x 2x 17
981:3x 3x 109
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 2x 17 = 136
Therefore, the value for common factors is 136.
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 = 43180570832256/(1x136)
LCM = 43180570832256/136
LCM = 317504197296
Thus, we can understand that the LCM of 572,901,314,272,981 is 317504197296.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 572, 901, 314, 272, 981
1. What is the LCM of 572, 901, 314, 272, 981?
Answer: LCM of 572, 901, 314, 272, 981 is 317504197296.
2. How to calculate the LCM of 572, 901, 314, 272, 981?
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, 901, 314, 272, 981.
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}.