Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3777/312, 8840/949 quickly i.e. 2568360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3777/312, 8840/949 is 2568360.
LCM(3777/312, 8840/949) = 2568360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3777/312,8840/949
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 3777,8840
Least Common Multiple of Numerators i.e. LCM of 3777,8840 is 33388680.
GCF of Denominators means GCF of 312,949 as per the given fractions.
GCF of 312,949 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3777,8840
Given numbers has no common factors except 1. So, there LCM is their product i.e 33388680
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 3777,8840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3777,8840) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3777,8840) x common factors =1 x 1 = 1
LCM(3777,8840) = ( 3777 × 8840 ) / 1
LCM(3777,8840) = 33388680 / 1
LCM(3777,8840) = 33388680
Lets's calculate GCF of 312,949
13 | 312, 949 |
24, 73 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33388680/13
Therefore the LCM of Fractions 3777/312,8840/949 is 2568360
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Greatest Common Factor
We found the factors 312,949 . The biggest common factor number is the GCF number.
So the greatest common factor 312,949 is 13.
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 3777/312, 8840/949?
Answer: LCM of Numerators as per given numbers 3777/312, 8840/949 is
LCM of Numerators i.e. for 3777,8840 is 33388680
GCF of denominators i.e. for 312,949 is 13.
Thus, LCM of Fractions is 2568360.Finally, LCM of Fractions for 3777/312, 8840/949 is 2568360.