LCM of 851, 888, 692, 442, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 888, 692, 442, 635 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, 888, 692, 442, 635. So, keep reading to learn more.
Given numbers are 851,888,692,442,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,888,692,442,635 is 495852952920.
Find LCM of 851,888,692,442,635 with Prime Factorization
| 2 | 851, 888, 692, 442, 635 |
| 2 | 851, 444, 346, 221, 635 |
| 37 | 851, 222, 173, 221, 635 |
| 23, 6, 173, 221, 635 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 23 x 6 x 173 x 221 x 635 = 495852952920
Therefore, the lowest common multiple of 851,888,692,442,635 is 495852952920.
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 888 x 692 x 442 x 635 = 146772474064320
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
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
692 : 1, 2, 4, 173, 346, 692
442 : 1, 2, 13, 17, 26, 34, 221, 442
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,888,692,442,635, is 1.
Now, the common factors can be found like this.
851:23x 37
888:2x 2x 2x 3x 37
692:2x 2x 173
442:2x 13x 17
635:5x 127
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 37 = 296
Therefore, the value for common factors is 296.
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 = 146772474064320/(1x296)
LCM = 146772474064320/296
LCM = 495852952920
Thus, we can understand that the LCM of 851,888,692,442,635 is 495852952920.
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FAQs on LCM of 851, 888, 692, 442, 635
1. What is the LCM of 851, 888, 692, 442, 635?
Answer: LCM of 851, 888, 692, 442, 635 is 495852952920.
2. How to calculate the LCM of 851, 888, 692, 442, 635?
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, 888, 692, 442, 635.
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}.