Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 871/70, 887/39, 450/548 quickly i.e. 347659650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 871/70, 887/39, 450/548 is 347659650.
LCM(871/70, 887/39, 450/548) = 347659650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 871/70,887/39,450/548
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 871,887,450
Least Common Multiple of Numerators i.e. LCM of 871,887,450 is 347659650.
GCF of Denominators means GCF of 70,39,548 as per the given fractions.
GCF of 70,39,548 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 871,887,450
Given numbers has no common factors except 1. So, there LCM is their product i.e 347659650
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 871,887,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,887,450) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,887,450) x common factors =1 x 1 = 1
LCM(871,887,450) = ( 871 × 887 × 450 ) / 1
LCM(871,887,450) = 347659650 / 1
LCM(871,887,450) = 347659650
Lets's calculate GCF of 70,39,548
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347659650/1
Therefore the LCM of Fractions 871/70,887/39,450/548 is 347659650
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Greatest Common Factor
We found the factors 70,39,548 . The biggest common factor number is the GCF number.
So the greatest common factor 70,39,548 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 871/70, 887/39, 450/548?
Answer: LCM of Numerators as per given numbers 871/70, 887/39, 450/548 is
LCM of Numerators i.e. for 871,887,450 is 347659650
GCF of denominators i.e. for 70,39,548 is 1.
Thus, LCM of Fractions is 347659650.Finally, LCM of Fractions for 871/70, 887/39, 450/548 is 347659650.