LCM of 837, 297, 149, 726, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 837, 297, 149, 726, 682 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 837, 297, 149, 726, 682. So, keep reading to learn more.
Given numbers are 837,297,149,726,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,297,149,726,682 is 30180546.
Find LCM of 837,297,149,726,682 with Prime Factorization
| 2 | 837, 297, 149, 726, 682 |
| 3 | 837, 297, 149, 363, 341 |
| 3 | 279, 99, 149, 121, 341 |
| 3 | 93, 33, 149, 121, 341 |
| 11 | 31, 11, 149, 121, 341 |
| 31 | 31, 1, 149, 11, 31 |
| 1, 1, 149, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 31 x 1 x 1 x 149 x 11 x 1 = 30180546
Therefore, the lowest common multiple of 837,297,149,726,682 is 30180546.
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.
837 x 297 x 149 x 726 x 682 = 18339570943452
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.
837 : 1, 3, 9, 27, 31, 93, 279, 837
297 : 1, 3, 9, 11, 27, 33, 99, 297
149 : 1, 149
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 837,297,149,726,682, is 1.
Now, the common factors can be found like this.
837:3x 3x 3x 31
297:3x 3x 3x 11
149:149
726:2x 3x 11x 11
682:2x 11x 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 3x 3x 3x 3x 11x 11x 31 = 607662
Therefore, the value for common factors is 607662.
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 = 18339570943452/(1x607662)
LCM = 18339570943452/607662
LCM = 30180546
Thus, we can understand that the LCM of 837,297,149,726,682 is 30180546.
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FAQs on LCM of 837, 297, 149, 726, 682
1. What is the LCM of 837, 297, 149, 726, 682?
Answer: LCM of 837, 297, 149, 726, 682 is 30180546.
2. How to calculate the LCM of 837, 297, 149, 726, 682?
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 837, 297, 149, 726, 682.
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}.