Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/859, 3800/1148 quickly i.e. 368600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/859, 3800/1148 is 368600.
LCM(97/859, 3800/1148) = 368600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/859,3800/1148
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 97,3800
Least Common Multiple of Numerators i.e. LCM of 97,3800 is 368600.
GCF of Denominators means GCF of 859,1148 as per the given fractions.
GCF of 859,1148 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,3800
Given numbers has no common factors except 1. So, there LCM is their product i.e 368600
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 97,3800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,3800) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,3800) x common factors =1 x 1 = 1
LCM(97,3800) = ( 97 × 3800 ) / 1
LCM(97,3800) = 368600 / 1
LCM(97,3800) = 368600
Lets's calculate GCF of 859,1148
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 368600/1
Therefore the LCM of Fractions 97/859,3800/1148 is 368600
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 1148
List of positive integer factors of 1148 that divides 1148 without a remainder.
1,2,4,7,14,28,41,82,164,287,574,1148
Greatest Common Factor
We found the factors 859,1148 . The biggest common factor number is the GCF number.
So the greatest common factor 859,1148 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 97/859, 3800/1148?
Answer: LCM of Numerators as per given numbers 97/859, 3800/1148 is
LCM of Numerators i.e. for 97,3800 is 368600
GCF of denominators i.e. for 859,1148 is 1.
Thus, LCM of Fractions is 368600.Finally, LCM of Fractions for 97/859, 3800/1148 is 368600.