LCM of 879, 312, 748, 440, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 312, 748, 440, 724 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 879, 312, 748, 440, 724. So, keep reading to learn more.
Given numbers are 879,312,748,440,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,312,748,440,724 is 15470786760.
Find LCM of 879,312,748,440,724 with Prime Factorization
| 2 | 879, 312, 748, 440, 724 |
| 2 | 879, 156, 374, 220, 362 |
| 2 | 879, 78, 187, 110, 181 |
| 3 | 879, 39, 187, 55, 181 |
| 11 | 293, 13, 187, 55, 181 |
| 293, 13, 17, 5, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 293 x 13 x 17 x 5 x 181 = 15470786760
Therefore, the lowest common multiple of 879,312,748,440,724 is 15470786760.
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.
879 x 312 x 748 x 440 x 724 = 65348603274240
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.
879 : 1, 3, 293, 879
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,312,748,440,724, is 1.
Now, the common factors can be found like this.
879:3x 293
312:2x 2x 2x 3x 13
748:2x 2x 11x 17
440:2x 2x 2x 5x 11
724:2x 2x 181
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 3x 11 = 4224
Therefore, the value for common factors is 4224.
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 = 65348603274240/(1x4224)
LCM = 65348603274240/4224
LCM = 15470786760
Thus, we can understand that the LCM of 879,312,748,440,724 is 15470786760.
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FAQs on LCM of 879, 312, 748, 440, 724
1. What is the LCM of 879, 312, 748, 440, 724?
Answer: LCM of 879, 312, 748, 440, 724 is 15470786760.
2. How to calculate the LCM of 879, 312, 748, 440, 724?
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 879, 312, 748, 440, 724.
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}.