Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 157/867, 8258/476 quickly i.e. 1296506/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 157/867, 8258/476 is 1296506/17.
LCM(157/867, 8258/476) = 1296506/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 157/867,8258/476
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 157,8258
Least Common Multiple of Numerators i.e. LCM of 157,8258 is 1296506.
GCF of Denominators means GCF of 867,476 as per the given fractions.
GCF of 867,476 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 157,8258
Given numbers has no common factors except 1. So, there LCM is their product i.e 1296506
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 157,8258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,8258) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,8258) x common factors =1 x 1 = 1
LCM(157,8258) = ( 157 × 8258 ) / 1
LCM(157,8258) = 1296506 / 1
LCM(157,8258) = 1296506
Lets's calculate GCF of 867,476
17 | 867, 476 |
51, 28 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1296506/17
Therefore the LCM of Fractions 157/867,8258/476 is 1296506/17
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Greatest Common Factor
We found the factors 867,476 . The biggest common factor number is the GCF number.
So the greatest common factor 867,476 is 17.
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 157/867, 8258/476?
Answer: LCM of Numerators as per given numbers 157/867, 8258/476 is
LCM of Numerators i.e. for 157,8258 is 1296506
GCF of denominators i.e. for 867,476 is 17.
Thus, LCM of Fractions is 1296506/17.Finally, LCM of Fractions for 157/867, 8258/476 is 1296506/17.