LCM of 220, 314, 680, 687, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 314, 680, 687, 374 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 220, 314, 680, 687, 374. So, keep reading to learn more.
Given numbers are 220,314,680,687,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,314,680,687,374 is 806785320.
Find LCM of 220,314,680,687,374 with Prime Factorization
| 2 | 220, 314, 680, 687, 374 |
| 2 | 110, 157, 340, 687, 187 |
| 5 | 55, 157, 170, 687, 187 |
| 11 | 11, 157, 34, 687, 187 |
| 17 | 1, 157, 34, 687, 17 |
| 1, 157, 2, 687, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 17 x 1 x 157 x 2 x 687 x 1 = 806785320
Therefore, the lowest common multiple of 220,314,680,687,374 is 806785320.
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.
220 x 314 x 680 x 687 x 374 = 12069508387200
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
314 : 1, 2, 157, 314
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
687 : 1, 3, 229, 687
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,314,680,687,374, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
314:2x 157
680:2x 2x 2x 5x 17
687:3x 229
374:2x 11x 17
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 5x 11x 17 = 14960
Therefore, the value for common factors is 14960.
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 = 12069508387200/(1x14960)
LCM = 12069508387200/14960
LCM = 806785320
Thus, we can understand that the LCM of 220,314,680,687,374 is 806785320.
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FAQs on LCM of 220, 314, 680, 687, 374
1. What is the LCM of 220, 314, 680, 687, 374?
Answer: LCM of 220, 314, 680, 687, 374 is 806785320.
2. How to calculate the LCM of 220, 314, 680, 687, 374?
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 220, 314, 680, 687, 374.
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}.