LCM of 497, 400, 714, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 400, 714, 284 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 497, 400, 714, 284. So, keep reading to learn more.
Given numbers are 497,400,714,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,400,714,284 is 10138800.
Find LCM of 497,400,714,284 with Prime Factorization
| 2 | 497, 400, 714, 284 |
| 2 | 497, 200, 357, 142 |
| 7 | 497, 100, 357, 71 |
| 71 | 71, 100, 51, 71 |
| 1, 100, 51, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 71 x 1 x 100 x 51 x 1 = 10138800
Therefore, the lowest common multiple of 497,400,714,284 is 10138800.
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.
497 x 400 x 714 x 284 = 40311868800
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.
497 : 1, 7, 71, 497
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,400,714,284, is 1.
Now, the common factors can be found like this.
497:7x 71
400:2x 2x 2x 2x 5x 5
714:2x 3x 7x 17
284:2x 2x 71
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 7x 71 = 3976
Therefore, the value for common factors is 3976.
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 = 40311868800/(1x3976)
LCM = 40311868800/3976
LCM = 10138800
Thus, we can understand that the LCM of 497,400,714,284 is 10138800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 497, 400, 714, 284
1. What is the LCM of 497, 400, 714, 284?
Answer: LCM of 497, 400, 714, 284 is 10138800.
2. How to calculate the LCM of 497, 400, 714, 284?
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 497, 400, 714, 284.
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}.