LCM of 957, 652, 493, 165, 136
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 652, 493, 165, 136 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 957, 652, 493, 165, 136. So, keep reading to learn more.
Given numbers are 957,652,493,165,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,652,493,165,136 is 106073880.
Find LCM of 957,652,493,165,136 with Prime Factorization
| 2 | 957, 652, 493, 165, 136 |
| 2 | 957, 326, 493, 165, 68 |
| 3 | 957, 163, 493, 165, 34 |
| 11 | 319, 163, 493, 55, 34 |
| 17 | 29, 163, 493, 5, 34 |
| 29 | 29, 163, 29, 5, 2 |
| 1, 163, 1, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 29 x 1 x 163 x 1 x 5 x 2 = 106073880
Therefore, the lowest common multiple of 957,652,493,165,136 is 106073880.
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.
957 x 652 x 493 x 165 x 136 = 6902863814880
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
652 : 1, 2, 4, 163, 326, 652
493 : 1, 17, 29, 493
165 : 1, 3, 5, 11, 15, 33, 55, 165
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,652,493,165,136, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
652:2x 2x 163
493:17x 29
165:3x 5x 11
136:2x 2x 2x 17
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 11x 17x 29 = 65076
Therefore, the value for common factors is 65076.
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 = 6902863814880/(1x65076)
LCM = 6902863814880/65076
LCM = 106073880
Thus, we can understand that the LCM of 957,652,493,165,136 is 106073880.
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FAQs on LCM of 957, 652, 493, 165, 136
1. What is the LCM of 957, 652, 493, 165, 136?
Answer: LCM of 957, 652, 493, 165, 136 is 106073880.
2. How to calculate the LCM of 957, 652, 493, 165, 136?
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 957, 652, 493, 165, 136.
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}.