Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 672/25, 918/7911 quickly i.e. 102816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 672/25, 918/7911 is 102816.
LCM(672/25, 918/7911) = 102816
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 672/25,918/7911
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 672,918
Least Common Multiple of Numerators i.e. LCM of 672,918 is 102816.
GCF of Denominators means GCF of 25,7911 as per the given fractions.
GCF of 25,7911 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 672,918
2 | 672, 918 |
3 | 336, 459 |
112, 153 |
∴ So the LCM of the given numbers is 2 x 3 x 112 x 153 = 102816
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 672,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,918) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(672,918) x common factors =6 x 1 = 6
LCM(672,918) = ( 672 × 918 ) / 6
LCM(672,918) = 616896 / 6
LCM(672,918) = 102816
Lets's calculate GCF of 25,7911
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102816/1
Therefore the LCM of Fractions 672/25,918/7911 is 102816
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 7911
List of positive integer factors of 7911 that divides 7911 without a remainder.
1,3,9,27,293,879,2637,7911
Greatest Common Factor
We found the factors 25,7911 . The biggest common factor number is the GCF number.
So the greatest common factor 25,7911 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 672/25, 918/7911?
Answer: LCM of Numerators as per given numbers 672/25, 918/7911 is
LCM of Numerators i.e. for 672,918 is 102816
GCF of denominators i.e. for 25,7911 is 1.
Thus, LCM of Fractions is 102816.Finally, LCM of Fractions for 672/25, 918/7911 is 102816.