Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 756/248, 6154/246 quickly i.e. 1163106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 756/248, 6154/246 is 1163106.
LCM(756/248, 6154/246) = 1163106
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 756/248,6154/246
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 756,6154
Least Common Multiple of Numerators i.e. LCM of 756,6154 is 2326212.
GCF of Denominators means GCF of 248,246 as per the given fractions.
GCF of 248,246 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 756,6154
2 | 756, 6154 |
378, 3077 |
∴ So the LCM of the given numbers is 2 x 378 x 3077 = 2326212
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 756,6154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,6154) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(756,6154) x common factors =2 x 1 = 2
LCM(756,6154) = ( 756 × 6154 ) / 2
LCM(756,6154) = 4652424 / 2
LCM(756,6154) = 2326212
Lets's calculate GCF of 248,246
2 | 248, 246 |
124, 123 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2326212/2
Therefore the LCM of Fractions 756/248,6154/246 is 1163106
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Greatest Common Factor
We found the factors 248,246 . The biggest common factor number is the GCF number.
So the greatest common factor 248,246 is 2.
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 756/248, 6154/246?
Answer: LCM of Numerators as per given numbers 756/248, 6154/246 is
LCM of Numerators i.e. for 756,6154 is 2326212
GCF of denominators i.e. for 248,246 is 2.
Thus, LCM of Fractions is 1163106.Finally, LCM of Fractions for 756/248, 6154/246 is 1163106.