LCM of 665, 456, 418, 322, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 665, 456, 418, 322, 951 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 665, 456, 418, 322, 951. So, keep reading to learn more.
Given numbers are 665,456,418,322,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,456,418,322,951 is 1280007960.
Find LCM of 665,456,418,322,951 with Prime Factorization
| 2 | 665, 456, 418, 322, 951 |
| 3 | 665, 228, 209, 161, 951 |
| 7 | 665, 76, 209, 161, 317 |
| 19 | 95, 76, 209, 23, 317 |
| 5, 4, 11, 23, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 5 x 4 x 11 x 23 x 317 = 1280007960
Therefore, the lowest common multiple of 665,456,418,322,951 is 1280007960.
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.
665 x 456 x 418 x 322 x 951 = 38814961379040
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
418 : 1, 2, 11, 19, 22, 38, 209, 418
322 : 1, 2, 7, 14, 23, 46, 161, 322
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,456,418,322,951, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
456:2x 2x 2x 3x 19
418:2x 11x 19
322:2x 7x 23
951:3x 317
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 3x 7x 19x 19 = 30324
Therefore, the value for common factors is 30324.
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 = 38814961379040/(1x30324)
LCM = 38814961379040/30324
LCM = 1280007960
Thus, we can understand that the LCM of 665,456,418,322,951 is 1280007960.
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FAQs on LCM of 665, 456, 418, 322, 951
1. What is the LCM of 665, 456, 418, 322, 951?
Answer: LCM of 665, 456, 418, 322, 951 is 1280007960.
2. How to calculate the LCM of 665, 456, 418, 322, 951?
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 665, 456, 418, 322, 951.
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}.