LCM of 712, 240, 300, 637, 461
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 712, 240, 300, 637, 461 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 712, 240, 300, 637, 461. So, keep reading to learn more.
Given numbers are 712,240,300,637,461
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,240,300,637,461 is 31362567600.
Find LCM of 712,240,300,637,461 with Prime Factorization
| 2 | 712, 240, 300, 637, 461 |
| 2 | 356, 120, 150, 637, 461 |
| 2 | 178, 60, 75, 637, 461 |
| 3 | 89, 30, 75, 637, 461 |
| 5 | 89, 10, 25, 637, 461 |
| 89, 2, 5, 637, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 89 x 2 x 5 x 637 x 461 = 31362567600
Therefore, the lowest common multiple of 712,240,300,637,461 is 31362567600.
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.
712 x 240 x 300 x 637 x 461 = 15054032448000
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
637 : 1, 7, 13, 49, 91, 637
461 : 1, 461
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,240,300,637,461, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
240:2x 2x 2x 2x 3x 5
300:2x 2x 3x 5x 5
637:7x 7x 13
461:461
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 2x 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 15054032448000/(1x480)
LCM = 15054032448000/480
LCM = 31362567600
Thus, we can understand that the LCM of 712,240,300,637,461 is 31362567600.
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FAQs on LCM of 712, 240, 300, 637, 461
1. What is the LCM of 712, 240, 300, 637, 461?
Answer: LCM of 712, 240, 300, 637, 461 is 31362567600.
2. How to calculate the LCM of 712, 240, 300, 637, 461?
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 712, 240, 300, 637, 461.
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}.