LCM of 461, 423, 756, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 461, 423, 756, 312 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 461, 423, 756, 312. So, keep reading to learn more.
Given numbers are 461,423,756,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,423,756,312 is 425886552.
Find LCM of 461,423,756,312 with Prime Factorization
| 2 | 461, 423, 756, 312 |
| 2 | 461, 423, 378, 156 |
| 3 | 461, 423, 189, 78 |
| 3 | 461, 141, 63, 26 |
| 461, 47, 21, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 461 x 47 x 21 x 26 = 425886552
Therefore, the lowest common multiple of 461,423,756,312 is 425886552.
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.
461 x 423 x 756 x 312 = 45995747616
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.
461 : 1, 461
423 : 1, 3, 9, 47, 141, 423
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,423,756,312, is 1.
Now, the common factors can be found like this.
461:461
423:3x 3x 47
756:2x 2x 3x 3x 3x 7
312:2x 2x 2x 3x 13
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 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 45995747616/(1x108)
LCM = 45995747616/108
LCM = 425886552
Thus, we can understand that the LCM of 461,423,756,312 is 425886552.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 461, 423, 756, 312
1. What is the LCM of 461, 423, 756, 312?
Answer: LCM of 461, 423, 756, 312 is 425886552.
2. How to calculate the LCM of 461, 423, 756, 312?
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 461, 423, 756, 312.
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}.