LCM of 856, 267, 748, 924, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 856, 267, 748, 924, 493 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 856, 267, 748, 924, 493. So, keep reading to learn more.
Given numbers are 856,267,748,924,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,267,748,924,493 is 8676062472.
Find LCM of 856,267,748,924,493 with Prime Factorization
| 2 | 856, 267, 748, 924, 493 |
| 2 | 428, 267, 374, 462, 493 |
| 3 | 214, 267, 187, 231, 493 |
| 11 | 214, 89, 187, 77, 493 |
| 17 | 214, 89, 17, 7, 493 |
| 214, 89, 1, 7, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 214 x 89 x 1 x 7 x 29 = 8676062472
Therefore, the lowest common multiple of 856,267,748,924,493 is 8676062472.
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.
856 x 267 x 748 x 924 x 493 = 77876336748672
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
267 : 1, 3, 89, 267
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,267,748,924,493, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
267:3x 89
748:2x 2x 11x 17
924:2x 2x 3x 7x 11
493:17x 29
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 11x 17 = 8976
Therefore, the value for common factors is 8976.
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 = 77876336748672/(1x8976)
LCM = 77876336748672/8976
LCM = 8676062472
Thus, we can understand that the LCM of 856,267,748,924,493 is 8676062472.
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FAQs on LCM of 856, 267, 748, 924, 493
1. What is the LCM of 856, 267, 748, 924, 493?
Answer: LCM of 856, 267, 748, 924, 493 is 8676062472.
2. How to calculate the LCM of 856, 267, 748, 924, 493?
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 856, 267, 748, 924, 493.
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}.