Find the LCM of 460, 312, 907, 689, 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 460, 312, 907, 689, 476. So, keep reading to learn more.
Given numbers are 460,312,907,689,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,312,907,689,476 is 205249710120.
Find LCM of 460,312,907,689,476 with Prime Factorization
2 | 460, 312, 907, 689, 476 |
2 | 230, 156, 907, 689, 238 |
13 | 115, 78, 907, 689, 119 |
115, 6, 907, 53, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 115 x 6 x 907 x 53 x 119 = 205249710120
Therefore, the lowest common multiple of 460,312,907,689,476 is 205249710120.
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.
460 x 312 x 907 x 689 x 476 = 42691939704960
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
907 : 1, 907
689 : 1, 13, 53, 689
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 460,312,907,689,476, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
312:2x 2x 2x 3x 13
907:907
689:13x 53
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 2x 13 = 208
Therefore, the value for common factors is 208.
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 = 42691939704960/(1x208)
LCM = 42691939704960/208
LCM = 205249710120
Thus, we can understand that the LCM of 460,312,907,689,476 is 205249710120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 312, 907, 689, 476?
Answer: LCM of 460, 312, 907, 689, 476 is 205249710120.
2. How to calculate the LCM of 460, 312, 907, 689, 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 460, 312, 907, 689, 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}.