LCM of 254, 407, 851, 376, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 407, 851, 376, 682 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 254, 407, 851, 376, 682. So, keep reading to learn more.
Given numbers are 254,407,851,376,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,407,851,376,682 is 13857200632.
Find LCM of 254,407,851,376,682 with Prime Factorization
| 2 | 254, 407, 851, 376, 682 |
| 11 | 127, 407, 851, 188, 341 |
| 37 | 127, 37, 851, 188, 31 |
| 127, 1, 23, 188, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 37 x 127 x 1 x 23 x 188 x 31 = 13857200632
Therefore, the lowest common multiple of 254,407,851,376,682 is 13857200632.
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.
254 x 407 x 851 x 376 x 682 = 22559522628896
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.
254 : 1, 2, 127, 254
407 : 1, 11, 37, 407
851 : 1, 23, 37, 851
376 : 1, 2, 4, 8, 47, 94, 188, 376
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,407,851,376,682, is 1.
Now, the common factors can be found like this.
254:2x 127
407:11x 37
851:23x 37
376:2x 2x 2x 47
682:2x 11x 31
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 11x 37 = 1628
Therefore, the value for common factors is 1628.
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 = 22559522628896/(1x1628)
LCM = 22559522628896/1628
LCM = 13857200632
Thus, we can understand that the LCM of 254,407,851,376,682 is 13857200632.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 254, 407, 851, 376, 682
1. What is the LCM of 254, 407, 851, 376, 682?
Answer: LCM of 254, 407, 851, 376, 682 is 13857200632.
2. How to calculate the LCM of 254, 407, 851, 376, 682?
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 254, 407, 851, 376, 682.
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}.