LCM of 247, 970, 665, 952, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 970, 665, 952, 476 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 247, 970, 665, 952, 476. So, keep reading to learn more.
Given numbers are 247,970,665,952,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,970,665,952,476 is 114044840.
Find LCM of 247,970,665,952,476 with Prime Factorization
| 2 | 247, 970, 665, 952, 476 |
| 2 | 247, 485, 665, 476, 238 |
| 5 | 247, 485, 665, 119, 238 |
| 7 | 247, 97, 133, 119, 238 |
| 17 | 247, 97, 19, 17, 34 |
| 19 | 247, 97, 19, 1, 2 |
| 13, 97, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 17 x 19 x 13 x 97 x 1 x 1 x 2 = 114044840
Therefore, the lowest common multiple of 247,970,665,952,476 is 114044840.
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.
247 x 970 x 665 x 952 x 476 = 72199507307200
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.
247 : 1, 13, 19, 247
970 : 1, 2, 5, 10, 97, 194, 485, 970
665 : 1, 5, 7, 19, 35, 95, 133, 665
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,970,665,952,476, is 1.
Now, the common factors can be found like this.
247:13x 19
970:2x 5x 97
665:5x 7x 19
952:2x 2x 2x 7x 17
476:2x 2x 7x 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 5x 7x 7x 17x 19 = 633080
Therefore, the value for common factors is 633080.
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 = 72199507307200/(1x633080)
LCM = 72199507307200/633080
LCM = 114044840
Thus, we can understand that the LCM of 247,970,665,952,476 is 114044840.
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FAQs on LCM of 247, 970, 665, 952, 476
1. What is the LCM of 247, 970, 665, 952, 476?
Answer: LCM of 247, 970, 665, 952, 476 is 114044840.
2. How to calculate the LCM of 247, 970, 665, 952, 476?
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 247, 970, 665, 952, 476.
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}.