Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2173/548, 1971/8894 quickly i.e. 4282983/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2173/548, 1971/8894 is 4282983/2.
LCM(2173/548, 1971/8894) = 4282983/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2173/548,1971/8894
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 2173,1971
Least Common Multiple of Numerators i.e. LCM of 2173,1971 is 4282983.
GCF of Denominators means GCF of 548,8894 as per the given fractions.
GCF of 548,8894 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2173,1971
Given numbers has no common factors except 1. So, there LCM is their product i.e 4282983
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 2173,1971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2173,1971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2173,1971) x common factors =1 x 1 = 1
LCM(2173,1971) = ( 2173 × 1971 ) / 1
LCM(2173,1971) = 4282983 / 1
LCM(2173,1971) = 4282983
Lets's calculate GCF of 548,8894
2 | 548, 8894 |
274, 4447 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4282983/2
Therefore the LCM of Fractions 2173/548,1971/8894 is 4282983/2
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 8894
List of positive integer factors of 8894 that divides 8894 without a remainder.
1,2,4447,8894
Greatest Common Factor
We found the factors 548,8894 . The biggest common factor number is the GCF number.
So the greatest common factor 548,8894 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 2173/548, 1971/8894?
Answer: LCM of Numerators as per given numbers 2173/548, 1971/8894 is
LCM of Numerators i.e. for 2173,1971 is 4282983
GCF of denominators i.e. for 548,8894 is 2.
Thus, LCM of Fractions is 4282983/2.Finally, LCM of Fractions for 2173/548, 1971/8894 is 4282983/2.