LCM of 268, 475, 627, 812, 511
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 475, 627, 812, 511 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 268, 475, 627, 812, 511. So, keep reading to learn more.
Given numbers are 268,475,627,812,511
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,475,627,812,511 is 62253137100.
Find LCM of 268,475,627,812,511 with Prime Factorization
| 2 | 268, 475, 627, 812, 511 |
| 2 | 134, 475, 627, 406, 511 |
| 7 | 67, 475, 627, 203, 511 |
| 19 | 67, 475, 627, 29, 73 |
| 67, 25, 33, 29, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 67 x 25 x 33 x 29 x 73 = 62253137100
Therefore, the lowest common multiple of 268,475,627,812,511 is 62253137100.
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.
268 x 475 x 627 x 812 x 511 = 33118668937200
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.
268 : 1, 2, 4, 67, 134, 268
475 : 1, 5, 19, 25, 95, 475
627 : 1, 3, 11, 19, 33, 57, 209, 627
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
511 : 1, 7, 73, 511
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,475,627,812,511, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
475:5x 5x 19
627:3x 11x 19
812:2x 2x 7x 29
511:7x 73
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 19 = 532
Therefore, the value for common factors is 532.
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 = 33118668937200/(1x532)
LCM = 33118668937200/532
LCM = 62253137100
Thus, we can understand that the LCM of 268,475,627,812,511 is 62253137100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 268, 475, 627, 812, 511
1. What is the LCM of 268, 475, 627, 812, 511?
Answer: LCM of 268, 475, 627, 812, 511 is 62253137100.
2. How to calculate the LCM of 268, 475, 627, 812, 511?
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 268, 475, 627, 812, 511.
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}.