LCM of 782, 268, 274, 920, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 268, 274, 920, 391 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 782, 268, 274, 920, 391. So, keep reading to learn more.
Given numbers are 782,268,274,920,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,268,274,920,391 is 143559560.
Find LCM of 782,268,274,920,391 with Prime Factorization
| 2 | 782, 268, 274, 920, 391 |
| 2 | 391, 134, 137, 460, 391 |
| 17 | 391, 67, 137, 230, 391 |
| 23 | 23, 67, 137, 230, 23 |
| 1, 67, 137, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 23 x 1 x 67 x 137 x 10 x 1 = 143559560
Therefore, the lowest common multiple of 782,268,274,920,391 is 143559560.
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.
782 x 268 x 274 x 920 x 391 = 20656497969280
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
268 : 1, 2, 4, 67, 134, 268
274 : 1, 2, 137, 274
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,268,274,920,391, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
268:2x 2x 67
274:2x 137
920:2x 2x 2x 5x 23
391:17x 23
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 17x 23x 23 = 143888
Therefore, the value for common factors is 143888.
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 = 20656497969280/(1x143888)
LCM = 20656497969280/143888
LCM = 143559560
Thus, we can understand that the LCM of 782,268,274,920,391 is 143559560.
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FAQs on LCM of 782, 268, 274, 920, 391
1. What is the LCM of 782, 268, 274, 920, 391?
Answer: LCM of 782, 268, 274, 920, 391 is 143559560.
2. How to calculate the LCM of 782, 268, 274, 920, 391?
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 782, 268, 274, 920, 391.
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}.