LCM of 851, 411, 414, 120, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 411, 414, 120, 272 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 851, 411, 414, 120, 272. So, keep reading to learn more.
Given numbers are 851,411,414,120,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,411,414,120,272 is 1427024880.
Find LCM of 851,411,414,120,272 with Prime Factorization
| 2 | 851, 411, 414, 120, 272 |
| 2 | 851, 411, 207, 60, 136 |
| 2 | 851, 411, 207, 30, 68 |
| 3 | 851, 411, 207, 15, 34 |
| 23 | 851, 137, 69, 5, 34 |
| 37, 137, 3, 5, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 37 x 137 x 3 x 5 x 34 = 1427024880
Therefore, the lowest common multiple of 851,411,414,120,272 is 1427024880.
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.
851 x 411 x 414 x 120 x 272 = 4726306402560
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.
851 : 1, 23, 37, 851
411 : 1, 3, 137, 411
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,411,414,120,272, is 1.
Now, the common factors can be found like this.
851:23x 37
411:3x 137
414:2x 3x 3x 23
120:2x 2x 2x 3x 5
272:2x 2x 2x 2x 17
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 23 = 3312
Therefore, the value for common factors is 3312.
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 = 4726306402560/(1x3312)
LCM = 4726306402560/3312
LCM = 1427024880
Thus, we can understand that the LCM of 851,411,414,120,272 is 1427024880.
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FAQs on LCM of 851, 411, 414, 120, 272
1. What is the LCM of 851, 411, 414, 120, 272?
Answer: LCM of 851, 411, 414, 120, 272 is 1427024880.
2. How to calculate the LCM of 851, 411, 414, 120, 272?
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 851, 411, 414, 120, 272.
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}.