Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 959/429, 977/177 quickly i.e. 936943/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 959/429, 977/177 is 936943/3.
LCM(959/429, 977/177) = 936943/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 959/429,977/177
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 959,977
Least Common Multiple of Numerators i.e. LCM of 959,977 is 936943.
GCF of Denominators means GCF of 429,177 as per the given fractions.
GCF of 429,177 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 959,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 936943
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 959,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,977) x common factors =1 x 1 = 1
LCM(959,977) = ( 959 × 977 ) / 1
LCM(959,977) = 936943 / 1
LCM(959,977) = 936943
Lets's calculate GCF of 429,177
3 | 429, 177 |
143, 59 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 936943/3
Therefore the LCM of Fractions 959/429,977/177 is 936943/3
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 429,177 . The biggest common factor number is the GCF number.
So the greatest common factor 429,177 is 3.
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 959/429, 977/177?
Answer: LCM of Numerators as per given numbers 959/429, 977/177 is
LCM of Numerators i.e. for 959,977 is 936943
GCF of denominators i.e. for 429,177 is 3.
Thus, LCM of Fractions is 936943/3.Finally, LCM of Fractions for 959/429, 977/177 is 936943/3.