LCM of 712, 429, 840, 660, 461
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 712, 429, 840, 660, 461 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 712, 429, 840, 660, 461. So, keep reading to learn more.
Given numbers are 712,429,840,660,461
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,429,840,660,461 is 4928403480.
Find LCM of 712,429,840,660,461 with Prime Factorization
| 2 | 712, 429, 840, 660, 461 |
| 2 | 356, 429, 420, 330, 461 |
| 2 | 178, 429, 210, 165, 461 |
| 3 | 89, 429, 105, 165, 461 |
| 5 | 89, 143, 35, 55, 461 |
| 11 | 89, 143, 7, 11, 461 |
| 89, 13, 7, 1, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 89 x 13 x 7 x 1 x 461 = 4928403480
Therefore, the lowest common multiple of 712,429,840,660,461 is 4928403480.
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.
712 x 429 x 840 x 660 x 461 = 78065911123200
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
429 : 1, 3, 11, 13, 33, 39, 143, 429
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
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
461 : 1, 461
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,429,840,660,461, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
429:3x 11x 13
840:2x 2x 2x 3x 5x 7
660:2x 2x 3x 5x 11
461:461
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 2x 3x 3x 5x 11 = 15840
Therefore, the value for common factors is 15840.
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 = 78065911123200/(1x15840)
LCM = 78065911123200/15840
LCM = 4928403480
Thus, we can understand that the LCM of 712,429,840,660,461 is 4928403480.
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FAQs on LCM of 712, 429, 840, 660, 461
1. What is the LCM of 712, 429, 840, 660, 461?
Answer: LCM of 712, 429, 840, 660, 461 is 4928403480.
2. How to calculate the LCM of 712, 429, 840, 660, 461?
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 712, 429, 840, 660, 461.
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}.