Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 969/742, 4022/989 quickly i.e. 3897318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 969/742, 4022/989 is 3897318.
LCM(969/742, 4022/989) = 3897318
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 969/742,4022/989
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 969,4022
Least Common Multiple of Numerators i.e. LCM of 969,4022 is 3897318.
GCF of Denominators means GCF of 742,989 as per the given fractions.
GCF of 742,989 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 969,4022
Given numbers has no common factors except 1. So, there LCM is their product i.e 3897318
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 969,4022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,4022) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,4022) x common factors =1 x 1 = 1
LCM(969,4022) = ( 969 × 4022 ) / 1
LCM(969,4022) = 3897318 / 1
LCM(969,4022) = 3897318
Lets's calculate GCF of 742,989
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3897318/1
Therefore the LCM of Fractions 969/742,4022/989 is 3897318
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Greatest Common Factor
We found the factors 742,989 . The biggest common factor number is the GCF number.
So the greatest common factor 742,989 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 969/742, 4022/989?
Answer: LCM of Numerators as per given numbers 969/742, 4022/989 is
LCM of Numerators i.e. for 969,4022 is 3897318
GCF of denominators i.e. for 742,989 is 1.
Thus, LCM of Fractions is 3897318.Finally, LCM of Fractions for 969/742, 4022/989 is 3897318.