LCM of 187, 736, 123, 312, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 736, 123, 312, 242 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 187, 736, 123, 312, 242. So, keep reading to learn more.
Given numbers are 187,736,123,312,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,736,123,312,242 is 2420809248.
Find LCM of 187,736,123,312,242 with Prime Factorization
| 2 | 187, 736, 123, 312, 242 |
| 2 | 187, 368, 123, 156, 121 |
| 2 | 187, 184, 123, 78, 121 |
| 3 | 187, 92, 123, 39, 121 |
| 11 | 187, 92, 41, 13, 121 |
| 17, 92, 41, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 17 x 92 x 41 x 13 x 11 = 2420809248
Therefore, the lowest common multiple of 187,736,123,312,242 is 2420809248.
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.
187 x 736 x 123 x 312 x 242 = 1278187282944
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.
187 : 1, 11, 17, 187
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
123 : 1, 3, 41, 123
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,736,123,312,242, is 1.
Now, the common factors can be found like this.
187:11x 17
736:2x 2x 2x 2x 2x 23
123:3x 41
312:2x 2x 2x 3x 13
242:2x 11x 11
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 1278187282944/(1x528)
LCM = 1278187282944/528
LCM = 2420809248
Thus, we can understand that the LCM of 187,736,123,312,242 is 2420809248.
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FAQs on LCM of 187, 736, 123, 312, 242
1. What is the LCM of 187, 736, 123, 312, 242?
Answer: LCM of 187, 736, 123, 312, 242 is 2420809248.
2. How to calculate the LCM of 187, 736, 123, 312, 242?
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 187, 736, 123, 312, 242.
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}.