LCM of 268, 328, 316, 914, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 328, 316, 914, 736 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, 328, 316, 914, 736. So, keep reading to learn more.
Given numbers are 268,328,316,914,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,328,316,914,736 is 72992756576.
Find LCM of 268,328,316,914,736 with Prime Factorization
| 2 | 268, 328, 316, 914, 736 |
| 2 | 134, 164, 158, 457, 368 |
| 2 | 67, 82, 79, 457, 184 |
| 67, 41, 79, 457, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 67 x 41 x 79 x 457 x 92 = 72992756576
Therefore, the lowest common multiple of 268,328,316,914,736 is 72992756576.
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 328 x 316 x 914 x 736 = 18686145683456
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
328 : 1, 2, 4, 8, 41, 82, 164, 328
316 : 1, 2, 4, 79, 158, 316
914 : 1, 2, 457, 914
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,328,316,914,736, is 2.
Now, the common factors can be found like this.
268:2x 2x 67
328:2x 2x 2x 41
316:2x 2x 79
914:2x 457
736:2x 2x 2x 2x 2x 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 2 = 128
Therefore, the value for common factors is 128.
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 = 18686145683456/(2x128)
LCM = 18686145683456/256
LCM = 72992756576
Thus, we can understand that the LCM of 268,328,316,914,736 is 72992756576.
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FAQs on LCM of 268, 328, 316, 914, 736
1. What is the LCM of 268, 328, 316, 914, 736?
Answer: LCM of 268, 328, 316, 914, 736 is 72992756576.
2. How to calculate the LCM of 268, 328, 316, 914, 736?
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, 328, 316, 914, 736.
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}.