LCM of 616, 840, 521, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 840, 521, 286 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 616, 840, 521, 286. So, keep reading to learn more.
Given numbers are 616,840,521,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,840,521,286 is 62582520.
Find LCM of 616,840,521,286 with Prime Factorization
| 2 | 616, 840, 521, 286 |
| 2 | 308, 420, 521, 143 |
| 2 | 154, 210, 521, 143 |
| 7 | 77, 105, 521, 143 |
| 11 | 11, 15, 521, 143 |
| 1, 15, 521, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 1 x 15 x 521 x 13 = 62582520
Therefore, the lowest common multiple of 616,840,521,286 is 62582520.
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.
616 x 840 x 521 x 286 = 77101664640
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
521 : 1, 521
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,840,521,286, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
840:2x 2x 2x 3x 5x 7
521:521
286:2x 11x 13
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 2x 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 77101664640/(1x1232)
LCM = 77101664640/1232
LCM = 62582520
Thus, we can understand that the LCM of 616,840,521,286 is 62582520.
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FAQs on LCM of 616, 840, 521, 286
1. What is the LCM of 616, 840, 521, 286?
Answer: LCM of 616, 840, 521, 286 is 62582520.
2. How to calculate the LCM of 616, 840, 521, 286?
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 616, 840, 521, 286.
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}.