Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 695/333, 3749/4847 quickly i.e. 2605555/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 695/333, 3749/4847 is 2605555/37.
LCM(695/333, 3749/4847) = 2605555/37
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 695/333,3749/4847
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 695,3749
Least Common Multiple of Numerators i.e. LCM of 695,3749 is 2605555.
GCF of Denominators means GCF of 333,4847 as per the given fractions.
GCF of 333,4847 is 37 as it is the largest common factor for these numbers.
Lets's calculate LCM of 695,3749
Given numbers has no common factors except 1. So, there LCM is their product i.e 2605555
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 695,3749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,3749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,3749) x common factors =1 x 1 = 1
LCM(695,3749) = ( 695 × 3749 ) / 1
LCM(695,3749) = 2605555 / 1
LCM(695,3749) = 2605555
Lets's calculate GCF of 333,4847
37 | 333, 4847 |
9, 131 |
∴ So the GCF of the given numbers is 37 = 37
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2605555/37
Therefore the LCM of Fractions 695/333,3749/4847 is 2605555/37
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Factors of 4847
List of positive integer factors of 4847 that divides 4847 without a remainder.
1,37,131,4847
Greatest Common Factor
We found the factors 333,4847 . The biggest common factor number is the GCF number.
So the greatest common factor 333,4847 is 37.
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 695/333, 3749/4847?
Answer: LCM of Numerators as per given numbers 695/333, 3749/4847 is
LCM of Numerators i.e. for 695,3749 is 2605555
GCF of denominators i.e. for 333,4847 is 37.
Thus, LCM of Fractions is 2605555/37.Finally, LCM of Fractions for 695/333, 3749/4847 is 2605555/37.