Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 502/88, 366/1970 quickly i.e. 45933 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 502/88, 366/1970 is 45933.
LCM(502/88, 366/1970) = 45933
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 502/88,366/1970
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 502,366
Least Common Multiple of Numerators i.e. LCM of 502,366 is 91866.
GCF of Denominators means GCF of 88,1970 as per the given fractions.
GCF of 88,1970 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 502,366
2 | 502, 366 |
251, 183 |
∴ So the LCM of the given numbers is 2 x 251 x 183 = 91866
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 502,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(502,366) x common factors =2 x 1 = 2
LCM(502,366) = ( 502 × 366 ) / 2
LCM(502,366) = 183732 / 2
LCM(502,366) = 91866
Lets's calculate GCF of 88,1970
2 | 88, 1970 |
44, 985 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91866/2
Therefore the LCM of Fractions 502/88,366/1970 is 45933
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 1970
List of positive integer factors of 1970 that divides 1970 without a remainder.
1,2,5,10,197,394,985,1970
Greatest Common Factor
We found the factors 88,1970 . The biggest common factor number is the GCF number.
So the greatest common factor 88,1970 is 2.
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 502/88, 366/1970?
Answer: LCM of Numerators as per given numbers 502/88, 366/1970 is
LCM of Numerators i.e. for 502,366 is 91866
GCF of denominators i.e. for 88,1970 is 2.
Thus, LCM of Fractions is 45933.Finally, LCM of Fractions for 502/88, 366/1970 is 45933.