Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 369/874, 8332/7473 quickly i.e. 3074508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 369/874, 8332/7473 is 3074508.
LCM(369/874, 8332/7473) = 3074508
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 369/874,8332/7473
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 369,8332
Least Common Multiple of Numerators i.e. LCM of 369,8332 is 3074508.
GCF of Denominators means GCF of 874,7473 as per the given fractions.
GCF of 874,7473 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 369,8332
Given numbers has no common factors except 1. So, there LCM is their product i.e 3074508
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 369,8332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,8332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,8332) x common factors =1 x 1 = 1
LCM(369,8332) = ( 369 × 8332 ) / 1
LCM(369,8332) = 3074508 / 1
LCM(369,8332) = 3074508
Lets's calculate GCF of 874,7473
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3074508/1
Therefore the LCM of Fractions 369/874,8332/7473 is 3074508
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 7473
List of positive integer factors of 7473 that divides 7473 without a remainder.
1,3,47,53,141,159,2491,7473
Greatest Common Factor
We found the factors 874,7473 . The biggest common factor number is the GCF number.
So the greatest common factor 874,7473 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 369/874, 8332/7473?
Answer: LCM of Numerators as per given numbers 369/874, 8332/7473 is
LCM of Numerators i.e. for 369,8332 is 3074508
GCF of denominators i.e. for 874,7473 is 1.
Thus, LCM of Fractions is 3074508.Finally, LCM of Fractions for 369/874, 8332/7473 is 3074508.