LCM of 461, 420, 912, 697, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 461, 420, 912, 697, 410 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 461, 420, 912, 697, 410. So, keep reading to learn more.
Given numbers are 461,420,912,697,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,420,912,697,410 is 10256438640.
Find LCM of 461,420,912,697,410 with Prime Factorization
| 2 | 461, 420, 912, 697, 410 |
| 2 | 461, 210, 456, 697, 205 |
| 3 | 461, 105, 228, 697, 205 |
| 5 | 461, 35, 76, 697, 205 |
| 41 | 461, 7, 76, 697, 41 |
| 461, 7, 76, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 461 x 7 x 76 x 17 x 1 = 10256438640
Therefore, the lowest common multiple of 461,420,912,697,410 is 10256438640.
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.
461 x 420 x 912 x 697 x 410 = 50461678108800
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.
461 : 1, 461
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
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
697 : 1, 17, 41, 697
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,420,912,697,410, is 1.
Now, the common factors can be found like this.
461:461
420:2x 2x 3x 5x 7
912:2x 2x 2x 2x 3x 19
697:17x 41
410:2x 5x 41
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 41 = 4920
Therefore, the value for common factors is 4920.
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 = 50461678108800/(1x4920)
LCM = 50461678108800/4920
LCM = 10256438640
Thus, we can understand that the LCM of 461,420,912,697,410 is 10256438640.
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FAQs on LCM of 461, 420, 912, 697, 410
1. What is the LCM of 461, 420, 912, 697, 410?
Answer: LCM of 461, 420, 912, 697, 410 is 10256438640.
2. How to calculate the LCM of 461, 420, 912, 697, 410?
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 461, 420, 912, 697, 410.
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}.