Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/750, 1148/3959 quickly i.e. 63140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/750, 1148/3959 is 63140.
LCM(55/750, 1148/3959) = 63140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/750,1148/3959
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 55,1148
Least Common Multiple of Numerators i.e. LCM of 55,1148 is 63140.
GCF of Denominators means GCF of 750,3959 as per the given fractions.
GCF of 750,3959 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,1148
Given numbers has no common factors except 1. So, there LCM is their product i.e 63140
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 55,1148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,1148) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,1148) x common factors =1 x 1 = 1
LCM(55,1148) = ( 55 × 1148 ) / 1
LCM(55,1148) = 63140 / 1
LCM(55,1148) = 63140
Lets's calculate GCF of 750,3959
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63140/1
Therefore the LCM of Fractions 55/750,1148/3959 is 63140
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 3959
List of positive integer factors of 3959 that divides 3959 without a remainder.
1,37,107,3959
Greatest Common Factor
We found the factors 750,3959 . The biggest common factor number is the GCF number.
So the greatest common factor 750,3959 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 55/750, 1148/3959?
Answer: LCM of Numerators as per given numbers 55/750, 1148/3959 is
LCM of Numerators i.e. for 55,1148 is 63140
GCF of denominators i.e. for 750,3959 is 1.
Thus, LCM of Fractions is 63140.Finally, LCM of Fractions for 55/750, 1148/3959 is 63140.