LCM of 627, 536, 506, 494, 856
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 536, 506, 494, 856 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 627, 536, 506, 494, 856. So, keep reading to learn more.
Given numbers are 627,536,506,494,856
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,536,506,494,856 is 10751951496.
Find LCM of 627,536,506,494,856 with Prime Factorization
| 2 | 627, 536, 506, 494, 856 |
| 2 | 627, 268, 253, 247, 428 |
| 2 | 627, 134, 253, 247, 214 |
| 11 | 627, 67, 253, 247, 107 |
| 19 | 57, 67, 23, 247, 107 |
| 3, 67, 23, 13, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 19 x 3 x 67 x 23 x 13 x 107 = 10751951496
Therefore, the lowest common multiple of 627,536,506,494,856 is 10751951496.
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.
627 x 536 x 506 x 494 x 856 = 71909051605248
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
536 : 1, 2, 4, 8, 67, 134, 268, 536
506 : 1, 2, 11, 22, 23, 46, 253, 506
494 : 1, 2, 13, 19, 26, 38, 247, 494
856 : 1, 2, 4, 8, 107, 214, 428, 856
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,536,506,494,856, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
536:2x 2x 2x 67
506:2x 11x 23
494:2x 13x 19
856:2x 2x 2x 107
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 11x 19 = 6688
Therefore, the value for common factors is 6688.
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 = 71909051605248/(1x6688)
LCM = 71909051605248/6688
LCM = 10751951496
Thus, we can understand that the LCM of 627,536,506,494,856 is 10751951496.
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FAQs on LCM of 627, 536, 506, 494, 856
1. What is the LCM of 627, 536, 506, 494, 856?
Answer: LCM of 627, 536, 506, 494, 856 is 10751951496.
2. How to calculate the LCM of 627, 536, 506, 494, 856?
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 627, 536, 506, 494, 856.
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}.