LCM of 536, 760, 314, 678, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 536, 760, 314, 678, 678 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 536, 760, 314, 678, 678. So, keep reading to learn more.
Given numbers are 536,760,314,678,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 536,760,314,678,678 is 2710115160.
Find LCM of 536,760,314,678,678 with Prime Factorization
| 2 | 536, 760, 314, 678, 678 |
| 2 | 268, 380, 157, 339, 339 |
| 2 | 134, 190, 157, 339, 339 |
| 3 | 67, 95, 157, 339, 339 |
| 113 | 67, 95, 157, 113, 113 |
| 67, 95, 157, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 113 x 67 x 95 x 157 x 1 x 1 = 2710115160
Therefore, the lowest common multiple of 536,760,314,678,678 is 2710115160.
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.
536 x 760 x 314 x 678 x 678 = 58798658511360
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.
536 : 1, 2, 4, 8, 67, 134, 268, 536
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
314 : 1, 2, 157, 314
678 : 1, 2, 3, 6, 113, 226, 339, 678
678 : 1, 2, 3, 6, 113, 226, 339, 678
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,760,314,678,678, is 2.
Now, the common factors can be found like this.
536:2x 2x 2x 67
760:2x 2x 2x 5x 19
314:2x 157
678:2x 3x 113
678:2x 3x 113
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 3x 113 = 10848
Therefore, the value for common factors is 10848.
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 = 58798658511360/(2x10848)
LCM = 58798658511360/21696
LCM = 2710115160
Thus, we can understand that the LCM of 536,760,314,678,678 is 2710115160.
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FAQs on LCM of 536, 760, 314, 678, 678
1. What is the LCM of 536, 760, 314, 678, 678?
Answer: LCM of 536, 760, 314, 678, 678 is 2710115160.
2. How to calculate the LCM of 536, 760, 314, 678, 678?
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 536, 760, 314, 678, 678.
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}.