LCM of 420, 110, 418, 748, 607
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 110, 418, 748, 607 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, 110, 418, 748, 607. So, keep reading to learn more.
Given numbers are 420,110,418,748,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,110,418,748,607 is 905801820.
Find LCM of 420,110,418,748,607 with Prime Factorization
| 2 | 420, 110, 418, 748, 607 |
| 2 | 210, 55, 209, 374, 607 |
| 5 | 105, 55, 209, 187, 607 |
| 11 | 21, 11, 209, 187, 607 |
| 21, 1, 19, 17, 607 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 21 x 1 x 19 x 17 x 607 = 905801820
Therefore, the lowest common multiple of 420,110,418,748,607 is 905801820.
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 110 x 418 x 748 x 607 = 8768161617600
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
110 : 1, 2, 5, 10, 11, 22, 55, 110
418 : 1, 2, 11, 19, 22, 38, 209, 418
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,110,418,748,607, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
110:2x 5x 11
418:2x 11x 19
748:2x 2x 11x 17
607:607
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 11 = 9680
Therefore, the value for common factors is 9680.
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 = 8768161617600/(1x9680)
LCM = 8768161617600/9680
LCM = 905801820
Thus, we can understand that the LCM of 420,110,418,748,607 is 905801820.
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FAQs on LCM of 420, 110, 418, 748, 607
1. What is the LCM of 420, 110, 418, 748, 607?
Answer: LCM of 420, 110, 418, 748, 607 is 905801820.
2. How to calculate the LCM of 420, 110, 418, 748, 607?
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, 110, 418, 748, 607.
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}.