LCM of 741, 420, 456, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 420, 456, 630 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 741, 420, 456, 630. So, keep reading to learn more.
Given numbers are 741,420,456,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,420,456,630 is 622440.
Find LCM of 741,420,456,630 with Prime Factorization
| 2 | 741, 420, 456, 630 |
| 2 | 741, 210, 228, 315 |
| 3 | 741, 105, 114, 315 |
| 5 | 247, 35, 38, 105 |
| 7 | 247, 7, 38, 21 |
| 19 | 247, 1, 38, 3 |
| 13, 1, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 19 x 13 x 1 x 2 x 3 = 622440
Therefore, the lowest common multiple of 741,420,456,630 is 622440.
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.
741 x 420 x 456 x 630 = 89407281600
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,420,456,630, is 3.
Now, the common factors can be found like this.
741:3x 13x 19
420:2x 2x 3x 5x 7
456:2x 2x 2x 3x 19
630:2x 3x 3x 5x 7
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 3x 5x 7x 19 = 47880
Therefore, the value for common factors is 47880.
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 = 89407281600/(3x47880)
LCM = 89407281600/143640
LCM = 622440
Thus, we can understand that the LCM of 741,420,456,630 is 622440.
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FAQs on LCM of 741, 420, 456, 630
1. What is the LCM of 741, 420, 456, 630?
Answer: LCM of 741, 420, 456, 630 is 622440.
2. How to calculate the LCM of 741, 420, 456, 630?
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 741, 420, 456, 630.
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}.