LCM of 118, 851, 944, 286, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 851, 944, 286, 920 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 118, 851, 944, 286, 920. So, keep reading to learn more.
Given numbers are 118,851,944,286,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,851,944,286,920 is 574390960.
Find LCM of 118,851,944,286,920 with Prime Factorization
| 2 | 118, 851, 944, 286, 920 |
| 2 | 59, 851, 472, 143, 460 |
| 2 | 59, 851, 236, 143, 230 |
| 23 | 59, 851, 118, 143, 115 |
| 59 | 59, 37, 118, 143, 5 |
| 1, 37, 2, 143, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 59 x 1 x 37 x 2 x 143 x 5 = 574390960
Therefore, the lowest common multiple of 118,851,944,286,920 is 574390960.
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.
118 x 851 x 944 x 286 x 920 = 24942353047040
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.
118 : 1, 2, 59, 118
851 : 1, 23, 37, 851
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
286 : 1, 2, 11, 13, 22, 26, 143, 286
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,851,944,286,920, is 1.
Now, the common factors can be found like this.
118:2x 59
851:23x 37
944:2x 2x 2x 2x 59
286:2x 11x 13
920:2x 2x 2x 5x 23
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 2x 23x 59 = 43424
Therefore, the value for common factors is 43424.
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 = 24942353047040/(1x43424)
LCM = 24942353047040/43424
LCM = 574390960
Thus, we can understand that the LCM of 118,851,944,286,920 is 574390960.
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FAQs on LCM of 118, 851, 944, 286, 920
1. What is the LCM of 118, 851, 944, 286, 920?
Answer: LCM of 118, 851, 944, 286, 920 is 574390960.
2. How to calculate the LCM of 118, 851, 944, 286, 920?
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 118, 851, 944, 286, 920.
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}.