LCM of 247, 946, 536, 572, 683
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 946, 536, 572, 683 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 247, 946, 536, 572, 683. So, keep reading to learn more.
Given numbers are 247,946,536,572,683
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,946,536,572,683 is 42770427128.
Find LCM of 247,946,536,572,683 with Prime Factorization
| 2 | 247, 946, 536, 572, 683 |
| 2 | 247, 473, 268, 286, 683 |
| 11 | 247, 473, 134, 143, 683 |
| 13 | 247, 43, 134, 13, 683 |
| 19, 43, 134, 1, 683 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 19 x 43 x 134 x 1 x 683 = 42770427128
Therefore, the lowest common multiple of 247,946,536,572,683 is 42770427128.
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.
247 x 946 x 536 x 572 x 683 = 48929368634432
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.
247 : 1, 13, 19, 247
946 : 1, 2, 11, 22, 43, 86, 473, 946
536 : 1, 2, 4, 8, 67, 134, 268, 536
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
683 : 1, 683
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,946,536,572,683, is 1.
Now, the common factors can be found like this.
247:13x 19
946:2x 11x 43
536:2x 2x 2x 67
572:2x 2x 11x 13
683:683
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 11x 13 = 1144
Therefore, the value for common factors is 1144.
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 = 48929368634432/(1x1144)
LCM = 48929368634432/1144
LCM = 42770427128
Thus, we can understand that the LCM of 247,946,536,572,683 is 42770427128.
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FAQs on LCM of 247, 946, 536, 572, 683
1. What is the LCM of 247, 946, 536, 572, 683?
Answer: LCM of 247, 946, 536, 572, 683 is 42770427128.
2. How to calculate the LCM of 247, 946, 536, 572, 683?
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 247, 946, 536, 572, 683.
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}.