LCM of 957, 377, 678, 377, 276
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 377, 678, 377, 276 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, 377, 678, 377, 276. So, keep reading to learn more.
Given numbers are 957,377,678,377,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,377,678,377,276 is 129336636.
Find LCM of 957,377,678,377,276 with Prime Factorization
| 2 | 957, 377, 678, 377, 276 |
| 3 | 957, 377, 339, 377, 138 |
| 13 | 319, 377, 113, 377, 46 |
| 29 | 319, 29, 113, 29, 46 |
| 11, 1, 113, 1, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 11 x 1 x 113 x 1 x 46 = 129336636
Therefore, the lowest common multiple of 957,377,678,377,276 is 129336636.
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 377 x 678 x 377 x 276 = 25452673944984
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
377 : 1, 13, 29, 377
678 : 1, 2, 3, 6, 113, 226, 339, 678
377 : 1, 13, 29, 377
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,377,678,377,276, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
377:13x 29
678:2x 3x 113
377:13x 29
276:2x 2x 3x 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 13x 29x 29 = 196794
Therefore, the value for common factors is 196794.
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 = 25452673944984/(1x196794)
LCM = 25452673944984/196794
LCM = 129336636
Thus, we can understand that the LCM of 957,377,678,377,276 is 129336636.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 957, 377, 678, 377, 276
1. What is the LCM of 957, 377, 678, 377, 276?
Answer: LCM of 957, 377, 678, 377, 276 is 129336636.
2. How to calculate the LCM of 957, 377, 678, 377, 276?
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, 377, 678, 377, 276.
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}.