Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4342/182, 7257/6076 quickly i.e. 31509894/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4342/182, 7257/6076 is 31509894/14.
LCM(4342/182, 7257/6076) = 31509894/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4342/182,7257/6076
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 4342,7257
Least Common Multiple of Numerators i.e. LCM of 4342,7257 is 31509894.
GCF of Denominators means GCF of 182,6076 as per the given fractions.
GCF of 182,6076 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4342,7257
Given numbers has no common factors except 1. So, there LCM is their product i.e 31509894
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 4342,7257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4342,7257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4342,7257) x common factors =1 x 1 = 1
LCM(4342,7257) = ( 4342 × 7257 ) / 1
LCM(4342,7257) = 31509894 / 1
LCM(4342,7257) = 31509894
Lets's calculate GCF of 182,6076
2 | 182, 6076 |
7 | 91, 3038 |
13, 434 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31509894/14
Therefore the LCM of Fractions 4342/182,7257/6076 is 31509894/14
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 6076
List of positive integer factors of 6076 that divides 6076 without a remainder.
1,2,4,7,14,28,31,49,62,98,124,196,217,434,868,1519,3038,6076
Greatest Common Factor
We found the factors 182,6076 . The biggest common factor number is the GCF number.
So the greatest common factor 182,6076 is 14.
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 4342/182, 7257/6076?
Answer: LCM of Numerators as per given numbers 4342/182, 7257/6076 is
LCM of Numerators i.e. for 4342,7257 is 31509894
GCF of denominators i.e. for 182,6076 is 14.
Thus, LCM of Fractions is 31509894/14.Finally, LCM of Fractions for 4342/182, 7257/6076 is 31509894/14.