LCM of 314, 464, 187, 536, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 464, 187, 536, 628 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 314, 464, 187, 536, 628. So, keep reading to learn more.
Given numbers are 314,464,187,536,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,464,187,536,628 is 912712592.
Find LCM of 314,464,187,536,628 with Prime Factorization
| 2 | 314, 464, 187, 536, 628 |
| 2 | 157, 232, 187, 268, 314 |
| 2 | 157, 116, 187, 134, 157 |
| 157 | 157, 58, 187, 67, 157 |
| 1, 58, 187, 67, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 157 x 1 x 58 x 187 x 67 x 1 = 912712592
Therefore, the lowest common multiple of 314,464,187,536,628 is 912712592.
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.
314 x 464 x 187 x 536 x 628 = 9170936124416
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.
314 : 1, 2, 157, 314
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
187 : 1, 11, 17, 187
536 : 1, 2, 4, 8, 67, 134, 268, 536
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,464,187,536,628, is 1.
Now, the common factors can be found like this.
314:2x 157
464:2x 2x 2x 2x 29
187:11x 17
536:2x 2x 2x 67
628:2x 2x 157
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 157 = 10048
Therefore, the value for common factors is 10048.
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 = 9170936124416/(1x10048)
LCM = 9170936124416/10048
LCM = 912712592
Thus, we can understand that the LCM of 314,464,187,536,628 is 912712592.
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FAQs on LCM of 314, 464, 187, 536, 628
1. What is the LCM of 314, 464, 187, 536, 628?
Answer: LCM of 314, 464, 187, 536, 628 is 912712592.
2. How to calculate the LCM of 314, 464, 187, 536, 628?
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 314, 464, 187, 536, 628.
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}.