LCM of 246, 900, 487, 312, 797
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 246, 900, 487, 312, 797 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 246, 900, 487, 312, 797. So, keep reading to learn more.
Given numbers are 246,900,487,312,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 246,900,487,312,797 is 372380556600.
Find LCM of 246,900,487,312,797 with Prime Factorization
| 2 | 246, 900, 487, 312, 797 |
| 2 | 123, 450, 487, 156, 797 |
| 3 | 123, 225, 487, 78, 797 |
| 41, 75, 487, 26, 797 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 75 x 487 x 26 x 797 = 372380556600
Therefore, the lowest common multiple of 246,900,487,312,797 is 372380556600.
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.
246 x 900 x 487 x 312 x 797 = 26811400075200
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.
246 : 1, 2, 3, 6, 41, 82, 123, 246
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
487 : 1, 487
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,900,487,312,797, is 1.
Now, the common factors can be found like this.
246:2x 3x 41
900:2x 2x 3x 3x 5x 5
487:487
312:2x 2x 2x 3x 13
797:797
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 3 = 72
Therefore, the value for common factors is 72.
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 = 26811400075200/(1x72)
LCM = 26811400075200/72
LCM = 372380556600
Thus, we can understand that the LCM of 246,900,487,312,797 is 372380556600.
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FAQs on LCM of 246, 900, 487, 312, 797
1. What is the LCM of 246, 900, 487, 312, 797?
Answer: LCM of 246, 900, 487, 312, 797 is 372380556600.
2. How to calculate the LCM of 246, 900, 487, 312, 797?
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 246, 900, 487, 312, 797.
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}.