Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 151/374, 7307/242 quickly i.e. 1103357/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 151/374, 7307/242 is 1103357/22.
LCM(151/374, 7307/242) = 1103357/22
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 151/374,7307/242
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 151,7307
Least Common Multiple of Numerators i.e. LCM of 151,7307 is 1103357.
GCF of Denominators means GCF of 374,242 as per the given fractions.
GCF of 374,242 is 22 as it is the largest common factor for these numbers.
Lets's calculate LCM of 151,7307
Given numbers has no common factors except 1. So, there LCM is their product i.e 1103357
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 151,7307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,7307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,7307) x common factors =1 x 1 = 1
LCM(151,7307) = ( 151 × 7307 ) / 1
LCM(151,7307) = 1103357 / 1
LCM(151,7307) = 1103357
Lets's calculate GCF of 374,242
2 | 374, 242 |
11 | 187, 121 |
17, 11 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1103357/22
Therefore the LCM of Fractions 151/374,7307/242 is 1103357/22
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Greatest Common Factor
We found the factors 374,242 . The biggest common factor number is the GCF number.
So the greatest common factor 374,242 is 22.
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 151/374, 7307/242?
Answer: LCM of Numerators as per given numbers 151/374, 7307/242 is
LCM of Numerators i.e. for 151,7307 is 1103357
GCF of denominators i.e. for 374,242 is 22.
Thus, LCM of Fractions is 1103357/22.Finally, LCM of Fractions for 151/374, 7307/242 is 1103357/22.