Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 874/535, 101/965, 639/953 quickly i.e. 56407086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 874/535, 101/965, 639/953 is 56407086.
LCM(874/535, 101/965, 639/953) = 56407086
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 874/535,101/965,639/953
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 874,101,639
Least Common Multiple of Numerators i.e. LCM of 874,101,639 is 56407086.
GCF of Denominators means GCF of 535,965,953 as per the given fractions.
GCF of 535,965,953 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 874,101,639
Given numbers has no common factors except 1. So, there LCM is their product i.e 56407086
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 874,101,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,101,639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,101,639) x common factors =1 x 1 = 1
LCM(874,101,639) = ( 874 × 101 × 639 ) / 1
LCM(874,101,639) = 56407086 / 1
LCM(874,101,639) = 56407086
Lets's calculate GCF of 535,965,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56407086/1
Therefore the LCM of Fractions 874/535,101/965,639/953 is 56407086
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Greatest Common Factor
We found the factors 535,965,953 . The biggest common factor number is the GCF number.
So the greatest common factor 535,965,953 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 874/535, 101/965, 639/953?
Answer: LCM of Numerators as per given numbers 874/535, 101/965, 639/953 is
LCM of Numerators i.e. for 874,101,639 is 56407086
GCF of denominators i.e. for 535,965,953 is 1.
Thus, LCM of Fractions is 56407086.Finally, LCM of Fractions for 874/535, 101/965, 639/953 is 56407086.