Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 238/567, 7885/854 quickly i.e. 268090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 238/567, 7885/854 is 268090.
LCM(238/567, 7885/854) = 268090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 238/567,7885/854
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 238,7885
Least Common Multiple of Numerators i.e. LCM of 238,7885 is 1876630.
GCF of Denominators means GCF of 567,854 as per the given fractions.
GCF of 567,854 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 238,7885
Given numbers has no common factors except 1. So, there LCM is their product i.e 1876630
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 238,7885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,7885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(238,7885) x common factors =1 x 1 = 1
LCM(238,7885) = ( 238 × 7885 ) / 1
LCM(238,7885) = 1876630 / 1
LCM(238,7885) = 1876630
Lets's calculate GCF of 567,854
7 | 567, 854 |
81, 122 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1876630/7
Therefore the LCM of Fractions 238/567,7885/854 is 268090
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 567,854 . The biggest common factor number is the GCF number.
So the greatest common factor 567,854 is 7.
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 238/567, 7885/854?
Answer: LCM of Numerators as per given numbers 238/567, 7885/854 is
LCM of Numerators i.e. for 238,7885 is 1876630
GCF of denominators i.e. for 567,854 is 7.
Thus, LCM of Fractions is 268090.Finally, LCM of Fractions for 238/567, 7885/854 is 268090.