LCM of 650, 631, 478, 975, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 650, 631, 478, 975, 440 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 650, 631, 478, 975, 440. So, keep reading to learn more.
Given numbers are 650,631,478,975,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,631,478,975,440 is 12939412200.
Find LCM of 650,631,478,975,440 with Prime Factorization
| 2 | 650, 631, 478, 975, 440 |
| 5 | 325, 631, 239, 975, 220 |
| 5 | 65, 631, 239, 195, 44 |
| 13 | 13, 631, 239, 39, 44 |
| 1, 631, 239, 3, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 13 x 1 x 631 x 239 x 3 x 44 = 12939412200
Therefore, the lowest common multiple of 650,631,478,975,440 is 12939412200.
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.
650 x 631 x 478 x 975 x 440 = 84106179300000
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
631 : 1, 631
478 : 1, 2, 239, 478
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,631,478,975,440, is 1.
Now, the common factors can be found like this.
650:2x 5x 5x 13
631:631
478:2x 239
975:3x 5x 5x 13
440:2x 2x 2x 5x 11
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 5x 5x 5x 13 = 6500
Therefore, the value for common factors is 6500.
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 = 84106179300000/(1x6500)
LCM = 84106179300000/6500
LCM = 12939412200
Thus, we can understand that the LCM of 650,631,478,975,440 is 12939412200.
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FAQs on LCM of 650, 631, 478, 975, 440
1. What is the LCM of 650, 631, 478, 975, 440?
Answer: LCM of 650, 631, 478, 975, 440 is 12939412200.
2. How to calculate the LCM of 650, 631, 478, 975, 440?
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 650, 631, 478, 975, 440.
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}.