LCM of 920, 598, 400, 272, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 920, 598, 400, 272, 832 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 920, 598, 400, 272, 832. So, keep reading to learn more.
Given numbers are 920,598,400,272,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,598,400,272,832 is 8132800.
Find LCM of 920,598,400,272,832 with Prime Factorization
| 2 | 920, 598, 400, 272, 832 |
| 2 | 460, 299, 200, 136, 416 |
| 2 | 230, 299, 100, 68, 208 |
| 2 | 115, 299, 50, 34, 104 |
| 5 | 115, 299, 25, 17, 52 |
| 13 | 23, 299, 5, 17, 52 |
| 23 | 23, 23, 5, 17, 4 |
| 1, 1, 5, 17, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 13 x 23 x 1 x 1 x 5 x 17 x 4 = 8132800
Therefore, the lowest common multiple of 920,598,400,272,832 is 8132800.
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.
920 x 598 x 400 x 272 x 832 = 49801363456000
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
598 : 1, 2, 13, 23, 26, 46, 299, 598
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,598,400,272,832, is 2.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
598:2x 13x 23
400:2x 2x 2x 2x 5x 5
272:2x 2x 2x 2x 17
832:2x 2x 2x 2x 2x 2x 13
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 2x 2x 2x 2x 2x 2x 5x 13x 23 = 3061760
Therefore, the value for common factors is 3061760.
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 = 49801363456000/(2x3061760)
LCM = 49801363456000/6123520
LCM = 8132800
Thus, we can understand that the LCM of 920,598,400,272,832 is 8132800.
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FAQs on LCM of 920, 598, 400, 272, 832
1. What is the LCM of 920, 598, 400, 272, 832?
Answer: LCM of 920, 598, 400, 272, 832 is 8132800.
2. How to calculate the LCM of 920, 598, 400, 272, 832?
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 920, 598, 400, 272, 832.
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}.