Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 278/65, 642/7134 quickly i.e. 89238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 278/65, 642/7134 is 89238.
LCM(278/65, 642/7134) = 89238
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 278/65,642/7134
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 278,642
Least Common Multiple of Numerators i.e. LCM of 278,642 is 89238.
GCF of Denominators means GCF of 65,7134 as per the given fractions.
GCF of 65,7134 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 278,642
2 | 278, 642 |
139, 321 |
∴ So the LCM of the given numbers is 2 x 139 x 321 = 89238
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 278,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,642) x common factors =2 x 1 = 2
LCM(278,642) = ( 278 × 642 ) / 2
LCM(278,642) = 178476 / 2
LCM(278,642) = 89238
Lets's calculate GCF of 65,7134
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89238/1
Therefore the LCM of Fractions 278/65,642/7134 is 89238
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 7134
List of positive integer factors of 7134 that divides 7134 without a remainder.
1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134
Greatest Common Factor
We found the factors 65,7134 . The biggest common factor number is the GCF number.
So the greatest common factor 65,7134 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 278/65, 642/7134?
Answer: LCM of Numerators as per given numbers 278/65, 642/7134 is
LCM of Numerators i.e. for 278,642 is 89238
GCF of denominators i.e. for 65,7134 is 1.
Thus, LCM of Fractions is 89238.Finally, LCM of Fractions for 278/65, 642/7134 is 89238.