Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/502, 85/287, 320/740 quickly i.e. 364480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/502, 85/287, 320/740 is 364480.
LCM(67/502, 85/287, 320/740) = 364480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/502,85/287,320/740
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 67,85,320
Least Common Multiple of Numerators i.e. LCM of 67,85,320 is 364480.
GCF of Denominators means GCF of 502,287,740 as per the given fractions.
GCF of 502,287,740 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,85,320
5 | 67, 85, 320 |
67, 17, 64 |
∴ So the LCM of the given numbers is 5 x 67 x 17 x 64 = 364480
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 67,85,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,85,320) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(67,85,320) x common factors =1 x 5 = 5
LCM(67,85,320) = ( 67 × 85 × 320 ) / 5
LCM(67,85,320) = 1822400 / 5
LCM(67,85,320) = 364480
Lets's calculate GCF of 502,287,740
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364480/1
Therefore the LCM of Fractions 67/502,85/287,320/740 is 364480
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 502,287,740 . The biggest common factor number is the GCF number.
So the greatest common factor 502,287,740 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 67/502, 85/287, 320/740?
Answer: LCM of Numerators as per given numbers 67/502, 85/287, 320/740 is
LCM of Numerators i.e. for 67,85,320 is 364480
GCF of denominators i.e. for 502,287,740 is 1.
Thus, LCM of Fractions is 364480.Finally, LCM of Fractions for 67/502, 85/287, 320/740 is 364480.