LCM of 493, 924, 285, 420, 475
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 924, 285, 420, 475 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 493, 924, 285, 420, 475. So, keep reading to learn more.
Given numbers are 493,924,285,420,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,924,285,420,475 is 216377700.
Find LCM of 493,924,285,420,475 with Prime Factorization
| 2 | 493, 924, 285, 420, 475 |
| 2 | 493, 462, 285, 210, 475 |
| 3 | 493, 231, 285, 105, 475 |
| 5 | 493, 77, 95, 35, 475 |
| 7 | 493, 77, 19, 7, 95 |
| 19 | 493, 11, 19, 1, 95 |
| 493, 11, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 19 x 493 x 11 x 1 x 1 x 5 = 216377700
Therefore, the lowest common multiple of 493,924,285,420,475 is 216377700.
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.
493 x 924 x 285 x 420 x 475 = 25900410690000
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.
493 : 1, 17, 29, 493
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
285 : 1, 3, 5, 15, 19, 57, 95, 285
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
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,924,285,420,475, is 1.
Now, the common factors can be found like this.
493:17x 29
924:2x 2x 3x 7x 11
285:3x 5x 19
420:2x 2x 3x 5x 7
475:5x 5x 19
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 3x 3x 5x 5x 7x 19 = 119700
Therefore, the value for common factors is 119700.
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 = 25900410690000/(1x119700)
LCM = 25900410690000/119700
LCM = 216377700
Thus, we can understand that the LCM of 493,924,285,420,475 is 216377700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 493, 924, 285, 420, 475
1. What is the LCM of 493, 924, 285, 420, 475?
Answer: LCM of 493, 924, 285, 420, 475 is 216377700.
2. How to calculate the LCM of 493, 924, 285, 420, 475?
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 493, 924, 285, 420, 475.
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}.