LCM of 420, 517, 663, 418, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 517, 663, 418, 680 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 420, 517, 663, 418, 680. So, keep reading to learn more.
Given numbers are 420,517,663,418,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,517,663,418,680 is 1823541720.
Find LCM of 420,517,663,418,680 with Prime Factorization
| 2 | 420, 517, 663, 418, 680 |
| 2 | 210, 517, 663, 209, 340 |
| 3 | 105, 517, 663, 209, 170 |
| 5 | 35, 517, 221, 209, 170 |
| 11 | 7, 517, 221, 209, 34 |
| 17 | 7, 47, 221, 19, 34 |
| 7, 47, 13, 19, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 17 x 7 x 47 x 13 x 19 x 2 = 1823541720
Therefore, the lowest common multiple of 420,517,663,418,680 is 1823541720.
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.
420 x 517 x 663 x 418 x 680 = 40920276196800
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.
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
517 : 1, 11, 47, 517
663 : 1, 3, 13, 17, 39, 51, 221, 663
418 : 1, 2, 11, 19, 22, 38, 209, 418
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,517,663,418,680, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
517:11x 47
663:3x 13x 17
418:2x 11x 19
680:2x 2x 2x 5x 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 3x 5x 11x 17 = 22440
Therefore, the value for common factors is 22440.
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 = 40920276196800/(1x22440)
LCM = 40920276196800/22440
LCM = 1823541720
Thus, we can understand that the LCM of 420,517,663,418,680 is 1823541720.
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FAQs on LCM of 420, 517, 663, 418, 680
1. What is the LCM of 420, 517, 663, 418, 680?
Answer: LCM of 420, 517, 663, 418, 680 is 1823541720.
2. How to calculate the LCM of 420, 517, 663, 418, 680?
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 420, 517, 663, 418, 680.
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}.