LCM of 962, 572, 531, 418, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 572, 531, 418, 333 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 962, 572, 531, 418, 333. So, keep reading to learn more.
Given numbers are 962,572,531,418,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,572,531,418,333 is 213523596.
Find LCM of 962,572,531,418,333 with Prime Factorization
| 2 | 962, 572, 531, 418, 333 |
| 3 | 481, 286, 531, 209, 333 |
| 3 | 481, 286, 177, 209, 111 |
| 11 | 481, 286, 59, 209, 37 |
| 13 | 481, 26, 59, 19, 37 |
| 37 | 37, 2, 59, 19, 37 |
| 1, 2, 59, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 13 x 37 x 1 x 2 x 59 x 19 x 1 = 213523596
Therefore, the lowest common multiple of 962,572,531,418,333 is 213523596.
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.
962 x 572 x 531 x 418 x 333 = 40671120471696
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
531 : 1, 3, 9, 59, 177, 531
418 : 1, 2, 11, 19, 22, 38, 209, 418
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,572,531,418,333, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
572:2x 2x 11x 13
531:3x 3x 59
418:2x 11x 19
333:3x 3x 37
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 3x 11x 13x 37 = 190476
Therefore, the value for common factors is 190476.
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 = 40671120471696/(1x190476)
LCM = 40671120471696/190476
LCM = 213523596
Thus, we can understand that the LCM of 962,572,531,418,333 is 213523596.
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FAQs on LCM of 962, 572, 531, 418, 333
1. What is the LCM of 962, 572, 531, 418, 333?
Answer: LCM of 962, 572, 531, 418, 333 is 213523596.
2. How to calculate the LCM of 962, 572, 531, 418, 333?
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 962, 572, 531, 418, 333.
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}.