Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/703, 31/911, 922/174 quickly i.e. 2486634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/703, 31/911, 922/174 is 2486634.
LCM(87/703, 31/911, 922/174) = 2486634
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/703,31/911,922/174
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 87,31,922
Least Common Multiple of Numerators i.e. LCM of 87,31,922 is 2486634.
GCF of Denominators means GCF of 703,911,174 as per the given fractions.
GCF of 703,911,174 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,31,922
Given numbers has no common factors except 1. So, there LCM is their product i.e 2486634
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 87,31,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,31,922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,31,922) x common factors =1 x 1 = 1
LCM(87,31,922) = ( 87 × 31 × 922 ) / 1
LCM(87,31,922) = 2486634 / 1
LCM(87,31,922) = 2486634
Lets's calculate GCF of 703,911,174
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2486634/1
Therefore the LCM of Fractions 87/703,31/911,922/174 is 2486634
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 703,911,174 . The biggest common factor number is the GCF number.
So the greatest common factor 703,911,174 is 1.
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 87/703, 31/911, 922/174?
Answer: LCM of Numerators as per given numbers 87/703, 31/911, 922/174 is
LCM of Numerators i.e. for 87,31,922 is 2486634
GCF of denominators i.e. for 703,911,174 is 1.
Thus, LCM of Fractions is 2486634.Finally, LCM of Fractions for 87/703, 31/911, 922/174 is 2486634.