Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 502/979, 375/267 quickly i.e. 188250/89 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 502/979, 375/267 is 188250/89.
LCM(502/979, 375/267) = 188250/89
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 502/979,375/267
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 502,375
Least Common Multiple of Numerators i.e. LCM of 502,375 is 188250.
GCF of Denominators means GCF of 979,267 as per the given fractions.
GCF of 979,267 is 89 as it is the largest common factor for these numbers.
Lets's calculate LCM of 502,375
Given numbers has no common factors except 1. So, there LCM is their product i.e 188250
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 502,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,375) x common factors =1 x 1 = 1
LCM(502,375) = ( 502 × 375 ) / 1
LCM(502,375) = 188250 / 1
LCM(502,375) = 188250
Lets's calculate GCF of 979,267
89 | 979, 267 |
11, 3 |
∴ So the GCF of the given numbers is 89 = 89
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188250/89
Therefore the LCM of Fractions 502/979,375/267 is 188250/89
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Greatest Common Factor
We found the factors 979,267 . The biggest common factor number is the GCF number.
So the greatest common factor 979,267 is 89.
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 502/979, 375/267?
Answer: LCM of Numerators as per given numbers 502/979, 375/267 is
LCM of Numerators i.e. for 502,375 is 188250
GCF of denominators i.e. for 979,267 is 89.
Thus, LCM of Fractions is 188250/89.Finally, LCM of Fractions for 502/979, 375/267 is 188250/89.