LCM of 379, 635, 630, 254
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 635, 630, 254 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 379, 635, 630, 254. So, keep reading to learn more.
Given numbers are 379,635,630,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,635,630,254 is 30323790.
Find LCM of 379,635,630,254 with Prime Factorization
| 2 | 379, 635, 630, 254 |
| 5 | 379, 635, 315, 127 |
| 127 | 379, 127, 63, 127 |
| 379, 1, 63, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 127 x 379 x 1 x 63 x 1 = 30323790
Therefore, the lowest common multiple of 379,635,630,254 is 30323790.
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.
379 x 635 x 630 x 254 = 38511213300
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.
379 : 1, 379
635 : 1, 5, 127, 635
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
254 : 1, 2, 127, 254
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,635,630,254, is 1.
Now, the common factors can be found like this.
379:379
635:5x 127
630:2x 3x 3x 5x 7
254:2x 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 5x 127 = 1270
Therefore, the value for common factors is 1270.
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 = 38511213300/(1x1270)
LCM = 38511213300/1270
LCM = 30323790
Thus, we can understand that the LCM of 379,635,630,254 is 30323790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 379, 635, 630, 254
1. What is the LCM of 379, 635, 630, 254?
Answer: LCM of 379, 635, 630, 254 is 30323790.
2. How to calculate the LCM of 379, 635, 630, 254?
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 379, 635, 630, 254.
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}.