LCM of 976, 255, 968, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 976, 255, 968, 374 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 976, 255, 968, 374. So, keep reading to learn more.
Given numbers are 976,255,968,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 976,255,968,374 is 30114480.
Find LCM of 976,255,968,374 with Prime Factorization
| 2 | 976, 255, 968, 374 |
| 2 | 488, 255, 484, 187 |
| 2 | 244, 255, 242, 187 |
| 11 | 122, 255, 121, 187 |
| 17 | 122, 255, 11, 17 |
| 122, 15, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 17 x 122 x 15 x 11 x 1 = 30114480
Therefore, the lowest common multiple of 976,255,968,374 is 30114480.
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.
976 x 255 x 968 x 374 = 90102524160
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.
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
255 : 1, 3, 5, 15, 17, 51, 85, 255
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,255,968,374, is 1.
Now, the common factors can be found like this.
976:2x 2x 2x 2x 61
255:3x 5x 17
968:2x 2x 2x 11x 11
374:2x 11x 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 2x 2x 11x 17 = 2992
Therefore, the value for common factors is 2992.
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 = 90102524160/(1x2992)
LCM = 90102524160/2992
LCM = 30114480
Thus, we can understand that the LCM of 976,255,968,374 is 30114480.
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FAQs on LCM of 976, 255, 968, 374
1. What is the LCM of 976, 255, 968, 374?
Answer: LCM of 976, 255, 968, 374 is 30114480.
2. How to calculate the LCM of 976, 255, 968, 374?
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 976, 255, 968, 374.
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}.