Find the LCM of 630, 244, 762, 997, 490 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 630, 244, 762, 997, 490. So, keep reading to learn more.
Given numbers are 630,244,762,997,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,244,762,997,490 is 68123554380.
Find LCM of 630,244,762,997,490 with Prime Factorization
2 | 630, 244, 762, 997, 490 |
3 | 315, 122, 381, 997, 245 |
5 | 105, 122, 127, 997, 245 |
7 | 21, 122, 127, 997, 49 |
3, 122, 127, 997, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 3 x 122 x 127 x 997 x 7 = 68123554380
Therefore, the lowest common multiple of 630,244,762,997,490 is 68123554380.
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.
630 x 244 x 762 x 997 x 490 = 57223785679200
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.
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
244 : 1, 2, 4, 61, 122, 244
762 : 1, 2, 3, 6, 127, 254, 381, 762
997 : 1, 997
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,244,762,997,490, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
244:2x 2x 61
762:2x 3x 127
997:997
490:2x 5x 7x 7
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 3x 5x 7 = 840
Therefore, the value for common factors is 840.
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 = 57223785679200/(1x840)
LCM = 57223785679200/840
LCM = 68123554380
Thus, we can understand that the LCM of 630,244,762,997,490 is 68123554380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 630, 244, 762, 997, 490?
Answer: LCM of 630, 244, 762, 997, 490 is 68123554380.
2. How to calculate the LCM of 630, 244, 762, 997, 490?
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 630, 244, 762, 997, 490.
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}.