Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/442, 82/157, 703/662 quickly i.e. 5130494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/442, 82/157, 703/662 is 5130494.
LCM(89/442, 82/157, 703/662) = 5130494
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/442,82/157,703/662
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 89,82,703
Least Common Multiple of Numerators i.e. LCM of 89,82,703 is 5130494.
GCF of Denominators means GCF of 442,157,662 as per the given fractions.
GCF of 442,157,662 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,82,703
Given numbers has no common factors except 1. So, there LCM is their product i.e 5130494
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 89,82,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,82,703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,82,703) x common factors =1 x 1 = 1
LCM(89,82,703) = ( 89 × 82 × 703 ) / 1
LCM(89,82,703) = 5130494 / 1
LCM(89,82,703) = 5130494
Lets's calculate GCF of 442,157,662
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5130494/1
Therefore the LCM of Fractions 89/442,82/157,703/662 is 5130494
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 442,157,662 . The biggest common factor number is the GCF number.
So the greatest common factor 442,157,662 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 89/442, 82/157, 703/662?
Answer: LCM of Numerators as per given numbers 89/442, 82/157, 703/662 is
LCM of Numerators i.e. for 89,82,703 is 5130494
GCF of denominators i.e. for 442,157,662 is 1.
Thus, LCM of Fractions is 5130494.Finally, LCM of Fractions for 89/442, 82/157, 703/662 is 5130494.