Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 354/302, 7553/424 quickly i.e. 1336881 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 354/302, 7553/424 is 1336881.
LCM(354/302, 7553/424) = 1336881
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 354/302,7553/424
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 354,7553
Least Common Multiple of Numerators i.e. LCM of 354,7553 is 2673762.
GCF of Denominators means GCF of 302,424 as per the given fractions.
GCF of 302,424 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 354,7553
Given numbers has no common factors except 1. So, there LCM is their product i.e 2673762
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 354,7553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,7553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(354,7553) x common factors =1 x 1 = 1
LCM(354,7553) = ( 354 × 7553 ) / 1
LCM(354,7553) = 2673762 / 1
LCM(354,7553) = 2673762
Lets's calculate GCF of 302,424
2 | 302, 424 |
151, 212 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2673762/2
Therefore the LCM of Fractions 354/302,7553/424 is 1336881
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 302,424 . The biggest common factor number is the GCF number.
So the greatest common factor 302,424 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 354/302, 7553/424?
Answer: LCM of Numerators as per given numbers 354/302, 7553/424 is
LCM of Numerators i.e. for 354,7553 is 2673762
GCF of denominators i.e. for 302,424 is 2.
Thus, LCM of Fractions is 1336881.Finally, LCM of Fractions for 354/302, 7553/424 is 1336881.