Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 248/512, 7051/136 quickly i.e. 218581 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 248/512, 7051/136 is 218581.
LCM(248/512, 7051/136) = 218581
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 248/512,7051/136
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 248,7051
Least Common Multiple of Numerators i.e. LCM of 248,7051 is 1748648.
GCF of Denominators means GCF of 512,136 as per the given fractions.
GCF of 512,136 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 248,7051
Given numbers has no common factors except 1. So, there LCM is their product i.e 1748648
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 248,7051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,7051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,7051) x common factors =1 x 1 = 1
LCM(248,7051) = ( 248 × 7051 ) / 1
LCM(248,7051) = 1748648 / 1
LCM(248,7051) = 1748648
Lets's calculate GCF of 512,136
2 | 512, 136 |
2 | 256, 68 |
2 | 128, 34 |
64, 17 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1748648/8
Therefore the LCM of Fractions 248/512,7051/136 is 218581
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 512,136 . The biggest common factor number is the GCF number.
So the greatest common factor 512,136 is 8.
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 248/512, 7051/136?
Answer: LCM of Numerators as per given numbers 248/512, 7051/136 is
LCM of Numerators i.e. for 248,7051 is 1748648
GCF of denominators i.e. for 512,136 is 8.
Thus, LCM of Fractions is 218581.Finally, LCM of Fractions for 248/512, 7051/136 is 218581.