Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/776, 48/388 quickly i.e. 336/388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/776, 48/388 is 336/388.
LCM(42/776, 48/388) = 336/388
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/776,48/388
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 42,48
Least Common Multiple of Numerators i.e. LCM of 42,48 is 336.
GCF of Denominators means GCF of 776,388 as per the given fractions.
GCF of 776,388 is 388 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,48
2 | 42, 48 |
3 | 21, 24 |
7, 8 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 8 = 336
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 42,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,48) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(42,48) x common factors =6 x 1 = 6
LCM(42,48) = ( 42 × 48 ) / 6
LCM(42,48) = 2016 / 6
LCM(42,48) = 336
Lets's calculate GCF of 776,388
2 | 776, 388 |
2 | 388, 194 |
97 | 97, 194 |
1, 2 |
∴ So the GCF of the given numbers is 2 x 2 x 97 = 388
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336/388
Therefore the LCM of Fractions 42/776,48/388 is 336/388
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Greatest Common Factor
We found the factors 776,388 . The biggest common factor number is the GCF number.
So the greatest common factor 776,388 is 388.
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 42/776, 48/388?
Answer: LCM of Numerators as per given numbers 42/776, 48/388 is
LCM of Numerators i.e. for 42,48 is 336
GCF of denominators i.e. for 776,388 is 388.
Thus, LCM of Fractions is 336/388.Finally, LCM of Fractions for 42/776, 48/388 is 336/388.