LCM of 724, 990, 826, 270, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 990, 826, 270, 948 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 724, 990, 826, 270, 948. So, keep reading to learn more.
Given numbers are 724,990,826,270,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,990,826,270,948 is 35078592780.
Find LCM of 724,990,826,270,948 with Prime Factorization
| 2 | 724, 990, 826, 270, 948 |
| 2 | 362, 495, 413, 135, 474 |
| 3 | 181, 495, 413, 135, 237 |
| 3 | 181, 165, 413, 45, 79 |
| 5 | 181, 55, 413, 15, 79 |
| 181, 11, 413, 3, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 181 x 11 x 413 x 3 x 79 = 35078592780
Therefore, the lowest common multiple of 724,990,826,270,948 is 35078592780.
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.
724 x 990 x 826 x 270 x 948 = 151539520809600
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.
724 : 1, 2, 4, 181, 362, 724
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
826 : 1, 2, 7, 14, 59, 118, 413, 826
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,990,826,270,948, is 2.
Now, the common factors can be found like this.
724:2x 2x 181
990:2x 3x 3x 5x 11
826:2x 7x 59
270:2x 3x 3x 3x 5
948:2x 2x 3x 79
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 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 151539520809600/(2x2160)
LCM = 151539520809600/4320
LCM = 35078592780
Thus, we can understand that the LCM of 724,990,826,270,948 is 35078592780.
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FAQs on LCM of 724, 990, 826, 270, 948
1. What is the LCM of 724, 990, 826, 270, 948?
Answer: LCM of 724, 990, 826, 270, 948 is 35078592780.
2. How to calculate the LCM of 724, 990, 826, 270, 948?
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 724, 990, 826, 270, 948.
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}.