Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6278/312, 2000/381 quickly i.e. 6278000/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6278/312, 2000/381 is 6278000/3.
LCM(6278/312, 2000/381) = 6278000/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6278/312,2000/381
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 6278,2000
Least Common Multiple of Numerators i.e. LCM of 6278,2000 is 6278000.
GCF of Denominators means GCF of 312,381 as per the given fractions.
GCF of 312,381 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6278,2000
2 | 6278, 2000 |
3139, 1000 |
∴ So the LCM of the given numbers is 2 x 3139 x 1000 = 6278000
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 6278,2000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6278,2000) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6278,2000) x common factors =2 x 1 = 2
LCM(6278,2000) = ( 6278 × 2000 ) / 2
LCM(6278,2000) = 12556000 / 2
LCM(6278,2000) = 6278000
Lets's calculate GCF of 312,381
3 | 312, 381 |
104, 127 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6278000/3
Therefore the LCM of Fractions 6278/312,2000/381 is 6278000/3
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Greatest Common Factor
We found the factors 312,381 . The biggest common factor number is the GCF number.
So the greatest common factor 312,381 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 6278/312, 2000/381?
Answer: LCM of Numerators as per given numbers 6278/312, 2000/381 is
LCM of Numerators i.e. for 6278,2000 is 6278000
GCF of denominators i.e. for 312,381 is 3.
Thus, LCM of Fractions is 6278000/3.Finally, LCM of Fractions for 6278/312, 2000/381 is 6278000/3.