LCM of 476, 276, 979, 792, 179
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 276, 979, 792, 179 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 476, 276, 979, 792, 179. So, keep reading to learn more.
Given numbers are 476,276,979,792,179
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,276,979,792,179 is 34533692424.
Find LCM of 476,276,979,792,179 with Prime Factorization
| 2 | 476, 276, 979, 792, 179 |
| 2 | 238, 138, 979, 396, 179 |
| 3 | 119, 69, 979, 198, 179 |
| 11 | 119, 23, 979, 66, 179 |
| 119, 23, 89, 6, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 119 x 23 x 89 x 6 x 179 = 34533692424
Therefore, the lowest common multiple of 476,276,979,792,179 is 34533692424.
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.
476 x 276 x 979 x 792 x 179 = 18233789599872
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
979 : 1, 11, 89, 979
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
179 : 1, 179
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,276,979,792,179, is 1.
Now, the common factors can be found like this.
476:2x 2x 7x 17
276:2x 2x 3x 23
979:11x 89
792:2x 2x 2x 3x 3x 11
179:179
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 18233789599872/(1x528)
LCM = 18233789599872/528
LCM = 34533692424
Thus, we can understand that the LCM of 476,276,979,792,179 is 34533692424.
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FAQs on LCM of 476, 276, 979, 792, 179
1. What is the LCM of 476, 276, 979, 792, 179?
Answer: LCM of 476, 276, 979, 792, 179 is 34533692424.
2. How to calculate the LCM of 476, 276, 979, 792, 179?
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 476, 276, 979, 792, 179.
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}.