LCM of 957, 381, 792, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 381, 792, 506 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, 381, 792, 506. So, keep reading to learn more.
Given numbers are 957,381,792,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,381,792,506 is 67089528.
Find LCM of 957,381,792,506 with Prime Factorization
| 2 | 957, 381, 792, 506 |
| 3 | 957, 381, 396, 253 |
| 11 | 319, 127, 132, 253 |
| 29, 127, 12, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 127 x 12 x 23 = 67089528
Therefore, the lowest common multiple of 957,381,792,506 is 67089528.
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 381 x 792 x 506 = 146120991984
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
381 : 1, 3, 127, 381
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,381,792,506, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
381:3x 127
792:2x 2x 2x 3x 3x 11
506:2x 11x 23
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 11x 11 = 2178
Therefore, the value for common factors is 2178.
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 = 146120991984/(1x2178)
LCM = 146120991984/2178
LCM = 67089528
Thus, we can understand that the LCM of 957,381,792,506 is 67089528.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 957, 381, 792, 506
1. What is the LCM of 957, 381, 792, 506?
Answer: LCM of 957, 381, 792, 506 is 67089528.
2. How to calculate the LCM of 957, 381, 792, 506?
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, 381, 792, 506.
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}.