LCM of 152, 943, 957, 456, 396
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 152, 943, 957, 456, 396 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 152, 943, 957, 456, 396. So, keep reading to learn more.
Given numbers are 152,943,957,456,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,943,957,456,396 is 411517656.
Find LCM of 152,943,957,456,396 with Prime Factorization
| 2 | 152, 943, 957, 456, 396 |
| 2 | 76, 943, 957, 228, 198 |
| 2 | 38, 943, 957, 114, 99 |
| 3 | 19, 943, 957, 57, 99 |
| 11 | 19, 943, 319, 19, 33 |
| 19 | 19, 943, 29, 19, 3 |
| 1, 943, 29, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 19 x 1 x 943 x 29 x 1 x 3 = 411517656
Therefore, the lowest common multiple of 152,943,957,456,396 is 411517656.
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.
152 x 943 x 957 x 456 x 396 = 24770070749952
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
943 : 1, 23, 41, 943
957 : 1, 3, 11, 29, 33, 87, 319, 957
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,943,957,456,396, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
943:23x 41
957:3x 11x 29
456:2x 2x 2x 3x 19
396:2x 2x 3x 3x 11
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 2x 2x 3x 3x 11x 19 = 60192
Therefore, the value for common factors is 60192.
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 = 24770070749952/(1x60192)
LCM = 24770070749952/60192
LCM = 411517656
Thus, we can understand that the LCM of 152,943,957,456,396 is 411517656.
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FAQs on LCM of 152, 943, 957, 456, 396
1. What is the LCM of 152, 943, 957, 456, 396?
Answer: LCM of 152, 943, 957, 456, 396 is 411517656.
2. How to calculate the LCM of 152, 943, 957, 456, 396?
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 152, 943, 957, 456, 396.
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}.