LCM of 268, 754, 377, 387, 534
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 754, 377, 387, 534 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, 754, 377, 387, 534. So, keep reading to learn more.
Given numbers are 268,754,377,387,534
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,754,377,387,534 is 3479982948.
Find LCM of 268,754,377,387,534 with Prime Factorization
| 2 | 268, 754, 377, 387, 534 |
| 3 | 134, 377, 377, 387, 267 |
| 13 | 134, 377, 377, 129, 89 |
| 29 | 134, 29, 29, 129, 89 |
| 134, 1, 1, 129, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 134 x 1 x 1 x 129 x 89 = 3479982948
Therefore, the lowest common multiple of 268,754,377,387,534 is 3479982948.
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 754 x 377 x 387 x 534 = 15743442856752
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
754 : 1, 2, 13, 26, 29, 58, 377, 754
377 : 1, 13, 29, 377
387 : 1, 3, 9, 43, 129, 387
534 : 1, 2, 3, 6, 89, 178, 267, 534
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,754,377,387,534, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
754:2x 13x 29
377:13x 29
387:3x 3x 43
534:2x 3x 89
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 13x 29 = 4524
Therefore, the value for common factors is 4524.
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 = 15743442856752/(1x4524)
LCM = 15743442856752/4524
LCM = 3479982948
Thus, we can understand that the LCM of 268,754,377,387,534 is 3479982948.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 268, 754, 377, 387, 534
1. What is the LCM of 268, 754, 377, 387, 534?
Answer: LCM of 268, 754, 377, 387, 534 is 3479982948.
2. How to calculate the LCM of 268, 754, 377, 387, 534?
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, 754, 377, 387, 534.
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}.