LCM of 951, 840, 409, 252, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 951, 840, 409, 252, 668 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 951, 840, 409, 252, 668. So, keep reading to learn more.
Given numbers are 951,840,409,252,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,840,409,252,668 is 54563168520.
Find LCM of 951,840,409,252,668 with Prime Factorization
| 2 | 951, 840, 409, 252, 668 |
| 2 | 951, 420, 409, 126, 334 |
| 3 | 951, 210, 409, 63, 167 |
| 7 | 317, 70, 409, 21, 167 |
| 317, 10, 409, 3, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 317 x 10 x 409 x 3 x 167 = 54563168520
Therefore, the lowest common multiple of 951,840,409,252,668 is 54563168520.
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.
951 x 840 x 409 x 252 x 668 = 54999673868160
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.
951 : 1, 3, 317, 951
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
409 : 1, 409
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,840,409,252,668, is 1.
Now, the common factors can be found like this.
951:3x 317
840:2x 2x 2x 3x 5x 7
409:409
252:2x 2x 3x 3x 7
668:2x 2x 167
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 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 54999673868160/(1x1008)
LCM = 54999673868160/1008
LCM = 54563168520
Thus, we can understand that the LCM of 951,840,409,252,668 is 54563168520.
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FAQs on LCM of 951, 840, 409, 252, 668
1. What is the LCM of 951, 840, 409, 252, 668?
Answer: LCM of 951, 840, 409, 252, 668 is 54563168520.
2. How to calculate the LCM of 951, 840, 409, 252, 668?
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 951, 840, 409, 252, 668.
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}.