Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2285/742, 6068/889 quickly i.e. 13865380/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2285/742, 6068/889 is 13865380/7.
LCM(2285/742, 6068/889) = 13865380/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2285/742,6068/889
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 2285,6068
Least Common Multiple of Numerators i.e. LCM of 2285,6068 is 13865380.
GCF of Denominators means GCF of 742,889 as per the given fractions.
GCF of 742,889 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2285,6068
Given numbers has no common factors except 1. So, there LCM is their product i.e 13865380
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 2285,6068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2285,6068) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2285,6068) x common factors =1 x 1 = 1
LCM(2285,6068) = ( 2285 × 6068 ) / 1
LCM(2285,6068) = 13865380 / 1
LCM(2285,6068) = 13865380
Lets's calculate GCF of 742,889
7 | 742, 889 |
106, 127 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13865380/7
Therefore the LCM of Fractions 2285/742,6068/889 is 13865380/7
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 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Greatest Common Factor
We found the factors 742,889 . The biggest common factor number is the GCF number.
So the greatest common factor 742,889 is 7.
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 2285/742, 6068/889?
Answer: LCM of Numerators as per given numbers 2285/742, 6068/889 is
LCM of Numerators i.e. for 2285,6068 is 13865380
GCF of denominators i.e. for 742,889 is 7.
Thus, LCM of Fractions is 13865380/7.Finally, LCM of Fractions for 2285/742, 6068/889 is 13865380/7.