LCM of 887, 628, 942, 494, 156
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 887, 628, 942, 494, 156 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 887, 628, 942, 494, 156. So, keep reading to learn more.
Given numbers are 887,628,942,494,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,628,942,494,156 is 412763676.
Find LCM of 887,628,942,494,156 with Prime Factorization
| 2 | 887, 628, 942, 494, 156 |
| 2 | 887, 314, 471, 247, 78 |
| 3 | 887, 157, 471, 247, 39 |
| 13 | 887, 157, 157, 247, 13 |
| 157 | 887, 157, 157, 19, 1 |
| 887, 1, 1, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 157 x 887 x 1 x 1 x 19 x 1 = 412763676
Therefore, the lowest common multiple of 887,628,942,494,156 is 412763676.
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.
887 x 628 x 942 x 494 x 156 = 40437631810368
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.
887 : 1, 887
628 : 1, 2, 4, 157, 314, 628
942 : 1, 2, 3, 6, 157, 314, 471, 942
494 : 1, 2, 13, 19, 26, 38, 247, 494
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,628,942,494,156, is 1.
Now, the common factors can be found like this.
887:887
628:2x 2x 157
942:2x 3x 157
494:2x 13x 19
156:2x 2x 3x 13
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 13x 157 = 97968
Therefore, the value for common factors is 97968.
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 = 40437631810368/(1x97968)
LCM = 40437631810368/97968
LCM = 412763676
Thus, we can understand that the LCM of 887,628,942,494,156 is 412763676.
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FAQs on LCM of 887, 628, 942, 494, 156
1. What is the LCM of 887, 628, 942, 494, 156?
Answer: LCM of 887, 628, 942, 494, 156 is 412763676.
2. How to calculate the LCM of 887, 628, 942, 494, 156?
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 887, 628, 942, 494, 156.
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}.