LCM of 568, 260, 680, 426, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 568, 260, 680, 426, 253 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 568, 260, 680, 426, 253. So, keep reading to learn more.
Given numbers are 568,260,680,426,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,260,680,426,253 is 476378760.
Find LCM of 568,260,680,426,253 with Prime Factorization
| 2 | 568, 260, 680, 426, 253 |
| 2 | 284, 130, 340, 213, 253 |
| 2 | 142, 65, 170, 213, 253 |
| 5 | 71, 65, 85, 213, 253 |
| 71 | 71, 13, 17, 213, 253 |
| 1, 13, 17, 3, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 71 x 1 x 13 x 17 x 3 x 253 = 476378760
Therefore, the lowest common multiple of 568,260,680,426,253 is 476378760.
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.
568 x 260 x 680 x 426 x 253 = 10823325427200
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
426 : 1, 2, 3, 6, 71, 142, 213, 426
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,260,680,426,253, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
260:2x 2x 5x 13
680:2x 2x 2x 5x 17
426:2x 3x 71
253:11x 23
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 2x 2x 5x 71 = 22720
Therefore, the value for common factors is 22720.
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 = 10823325427200/(1x22720)
LCM = 10823325427200/22720
LCM = 476378760
Thus, we can understand that the LCM of 568,260,680,426,253 is 476378760.
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FAQs on LCM of 568, 260, 680, 426, 253
1. What is the LCM of 568, 260, 680, 426, 253?
Answer: LCM of 568, 260, 680, 426, 253 is 476378760.
2. How to calculate the LCM of 568, 260, 680, 426, 253?
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 568, 260, 680, 426, 253.
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}.