LCM of 287, 682, 934, 748, 124
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 682, 934, 748, 124 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 287, 682, 934, 748, 124. So, keep reading to learn more.
Given numbers are 287,682,934,748,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,682,934,748,124 is 3107864452.
Find LCM of 287,682,934,748,124 with Prime Factorization
| 2 | 287, 682, 934, 748, 124 |
| 2 | 287, 341, 467, 374, 62 |
| 11 | 287, 341, 467, 187, 31 |
| 31 | 287, 31, 467, 17, 31 |
| 287, 1, 467, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 31 x 287 x 1 x 467 x 17 x 1 = 3107864452
Therefore, the lowest common multiple of 287,682,934,748,124 is 3107864452.
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.
287 x 682 x 934 x 748 x 124 = 16956508450112
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.
287 : 1, 7, 41, 287
682 : 1, 2, 11, 22, 31, 62, 341, 682
934 : 1, 2, 467, 934
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,682,934,748,124, is 1.
Now, the common factors can be found like this.
287:7x 41
682:2x 11x 31
934:2x 467
748:2x 2x 11x 17
124:2x 2x 31
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 11x 31 = 5456
Therefore, the value for common factors is 5456.
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 = 16956508450112/(1x5456)
LCM = 16956508450112/5456
LCM = 3107864452
Thus, we can understand that the LCM of 287,682,934,748,124 is 3107864452.
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FAQs on LCM of 287, 682, 934, 748, 124
1. What is the LCM of 287, 682, 934, 748, 124?
Answer: LCM of 287, 682, 934, 748, 124 is 3107864452.
2. How to calculate the LCM of 287, 682, 934, 748, 124?
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 287, 682, 934, 748, 124.
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}.