LCM of 857, 141, 968, 209, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 857, 141, 968, 209, 738 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 857, 141, 968, 209, 738. So, keep reading to learn more.
Given numbers are 857,141,968,209,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 857,141,968,209,738 is 273359394792.
Find LCM of 857,141,968,209,738 with Prime Factorization
| 2 | 857, 141, 968, 209, 738 |
| 3 | 857, 141, 484, 209, 369 |
| 11 | 857, 47, 484, 209, 123 |
| 857, 47, 44, 19, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 857 x 47 x 44 x 19 x 123 = 273359394792
Therefore, the lowest common multiple of 857,141,968,209,738 is 273359394792.
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.
857 x 141 x 968 x 209 x 738 = 18041720056272
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.
857 : 1, 857
141 : 1, 3, 47, 141
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
209 : 1, 11, 19, 209
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,141,968,209,738, is 1.
Now, the common factors can be found like this.
857:857
141:3x 47
968:2x 2x 2x 11x 11
209:11x 19
738:2x 3x 3x 41
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 11 = 66
Therefore, the value for common factors is 66.
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 = 18041720056272/(1x66)
LCM = 18041720056272/66
LCM = 273359394792
Thus, we can understand that the LCM of 857,141,968,209,738 is 273359394792.
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FAQs on LCM of 857, 141, 968, 209, 738
1. What is the LCM of 857, 141, 968, 209, 738?
Answer: LCM of 857, 141, 968, 209, 738 is 273359394792.
2. How to calculate the LCM of 857, 141, 968, 209, 738?
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 857, 141, 968, 209, 738.
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}.