Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 874/39, 825/7951 quickly i.e. 721050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 874/39, 825/7951 is 721050.
LCM(874/39, 825/7951) = 721050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 874/39,825/7951
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 874,825
Least Common Multiple of Numerators i.e. LCM of 874,825 is 721050.
GCF of Denominators means GCF of 39,7951 as per the given fractions.
GCF of 39,7951 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 874,825
Given numbers has no common factors except 1. So, there LCM is their product i.e 721050
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 874,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,825) x common factors =1 x 1 = 1
LCM(874,825) = ( 874 × 825 ) / 1
LCM(874,825) = 721050 / 1
LCM(874,825) = 721050
Lets's calculate GCF of 39,7951
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 721050/1
Therefore the LCM of Fractions 874/39,825/7951 is 721050
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 7951
List of positive integer factors of 7951 that divides 7951 without a remainder.
1,7951
Greatest Common Factor
We found the factors 39,7951 . The biggest common factor number is the GCF number.
So the greatest common factor 39,7951 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 874/39, 825/7951?
Answer: LCM of Numerators as per given numbers 874/39, 825/7951 is
LCM of Numerators i.e. for 874,825 is 721050
GCF of denominators i.e. for 39,7951 is 1.
Thus, LCM of Fractions is 721050.Finally, LCM of Fractions for 874/39, 825/7951 is 721050.