LCM of 147, 836, 814, 852, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 147, 836, 814, 852, 942 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 147, 836, 814, 852, 942. So, keep reading to learn more.
Given numbers are 147,836,814,852,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 147,836,814,852,942 is 50685453588.
Find LCM of 147,836,814,852,942 with Prime Factorization
| 2 | 147, 836, 814, 852, 942 |
| 2 | 147, 418, 407, 426, 471 |
| 3 | 147, 209, 407, 213, 471 |
| 11 | 49, 209, 407, 71, 157 |
| 49, 19, 37, 71, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 49 x 19 x 37 x 71 x 157 = 50685453588
Therefore, the lowest common multiple of 147,836,814,852,942 is 50685453588.
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.
147 x 836 x 814 x 852 x 942 = 80285758483392
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.
147 : 1, 3, 7, 21, 49, 147
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
814 : 1, 2, 11, 22, 37, 74, 407, 814
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,836,814,852,942, is 1.
Now, the common factors can be found like this.
147:3x 7x 7
836:2x 2x 11x 19
814:2x 11x 37
852:2x 2x 3x 71
942:2x 3x 157
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 3x 11 = 1584
Therefore, the value for common factors is 1584.
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 = 80285758483392/(1x1584)
LCM = 80285758483392/1584
LCM = 50685453588
Thus, we can understand that the LCM of 147,836,814,852,942 is 50685453588.
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FAQs on LCM of 147, 836, 814, 852, 942
1. What is the LCM of 147, 836, 814, 852, 942?
Answer: LCM of 147, 836, 814, 852, 942 is 50685453588.
2. How to calculate the LCM of 147, 836, 814, 852, 942?
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 147, 836, 814, 852, 942.
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}.