Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/10, 275/90, 349/739 quickly i.e. 7102150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/10, 275/90, 349/739 is 7102150.
LCM(74/10, 275/90, 349/739) = 7102150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/10,275/90,349/739
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 74,275,349
Least Common Multiple of Numerators i.e. LCM of 74,275,349 is 7102150.
GCF of Denominators means GCF of 10,90,739 as per the given fractions.
GCF of 10,90,739 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,275,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 7102150
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 74,275,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,275,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,275,349) x common factors =1 x 1 = 1
LCM(74,275,349) = ( 74 × 275 × 349 ) / 1
LCM(74,275,349) = 7102150 / 1
LCM(74,275,349) = 7102150
Lets's calculate GCF of 10,90,739
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7102150/1
Therefore the LCM of Fractions 74/10,275/90,349/739 is 7102150
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Greatest Common Factor
We found the factors 10,90,739 . The biggest common factor number is the GCF number.
So the greatest common factor 10,90,739 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 74/10, 275/90, 349/739?
Answer: LCM of Numerators as per given numbers 74/10, 275/90, 349/739 is
LCM of Numerators i.e. for 74,275,349 is 7102150
GCF of denominators i.e. for 10,90,739 is 1.
Thus, LCM of Fractions is 7102150.Finally, LCM of Fractions for 74/10, 275/90, 349/739 is 7102150.