LCM of 478, 493, 406, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 493, 406, 210 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 478, 493, 406, 210. So, keep reading to learn more.
Given numbers are 478,493,406,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,493,406,210 is 24743670.
Find LCM of 478,493,406,210 with Prime Factorization
| 2 | 478, 493, 406, 210 |
| 7 | 239, 493, 203, 105 |
| 29 | 239, 493, 29, 15 |
| 239, 17, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 239 x 17 x 1 x 15 = 24743670
Therefore, the lowest common multiple of 478,493,406,210 is 24743670.
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.
478 x 493 x 406 x 210 = 20091860040
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.
478 : 1, 2, 239, 478
493 : 1, 17, 29, 493
406 : 1, 2, 7, 14, 29, 58, 203, 406
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,493,406,210, is 1.
Now, the common factors can be found like this.
478:2x 239
493:17x 29
406:2x 7x 29
210:2x 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 7x 29 = 812
Therefore, the value for common factors is 812.
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 = 20091860040/(1x812)
LCM = 20091860040/812
LCM = 24743670
Thus, we can understand that the LCM of 478,493,406,210 is 24743670.
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FAQs on LCM of 478, 493, 406, 210
1. What is the LCM of 478, 493, 406, 210?
Answer: LCM of 478, 493, 406, 210 is 24743670.
2. How to calculate the LCM of 478, 493, 406, 210?
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 478, 493, 406, 210.
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}.