LCM of 572, 735, 642, 961, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 735, 642, 961, 135 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, 735, 642, 961, 135. So, keep reading to learn more.
Given numbers are 572,735,642,961,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,735,642,961,135 is 389074746060.
Find LCM of 572,735,642,961,135 with Prime Factorization
| 2 | 572, 735, 642, 961, 135 |
| 3 | 286, 735, 321, 961, 135 |
| 5 | 286, 245, 107, 961, 45 |
| 286, 49, 107, 961, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 286 x 49 x 107 x 961 x 9 = 389074746060
Therefore, the lowest common multiple of 572,735,642,961,135 is 389074746060.
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 735 x 642 x 961 x 135 = 35016727145400
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
642 : 1, 2, 3, 6, 107, 214, 321, 642
961 : 1, 31, 961
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,735,642,961,135, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
735:3x 5x 7x 7
642:2x 3x 107
961:31x 31
135:3x 3x 3x 5
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 5 = 90
Therefore, the value for common factors is 90.
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 = 35016727145400/(1x90)
LCM = 35016727145400/90
LCM = 389074746060
Thus, we can understand that the LCM of 572,735,642,961,135 is 389074746060.
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FAQs on LCM of 572, 735, 642, 961, 135
1. What is the LCM of 572, 735, 642, 961, 135?
Answer: LCM of 572, 735, 642, 961, 135 is 389074746060.
2. How to calculate the LCM of 572, 735, 642, 961, 135?
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, 735, 642, 961, 135.
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}.