Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6694/166, 1470/7234 quickly i.e. 2460045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6694/166, 1470/7234 is 2460045.
LCM(6694/166, 1470/7234) = 2460045
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6694/166,1470/7234
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 6694,1470
Least Common Multiple of Numerators i.e. LCM of 6694,1470 is 4920090.
GCF of Denominators means GCF of 166,7234 as per the given fractions.
GCF of 166,7234 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6694,1470
2 | 6694, 1470 |
3347, 735 |
∴ So the LCM of the given numbers is 2 x 3347 x 735 = 4920090
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 6694,1470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6694,1470) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6694,1470) x common factors =2 x 1 = 2
LCM(6694,1470) = ( 6694 × 1470 ) / 2
LCM(6694,1470) = 9840180 / 2
LCM(6694,1470) = 4920090
Lets's calculate GCF of 166,7234
2 | 166, 7234 |
83, 3617 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4920090/2
Therefore the LCM of Fractions 6694/166,1470/7234 is 2460045
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 7234
List of positive integer factors of 7234 that divides 7234 without a remainder.
1,2,3617,7234
Greatest Common Factor
We found the factors 166,7234 . The biggest common factor number is the GCF number.
So the greatest common factor 166,7234 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 6694/166, 1470/7234?
Answer: LCM of Numerators as per given numbers 6694/166, 1470/7234 is
LCM of Numerators i.e. for 6694,1470 is 4920090
GCF of denominators i.e. for 166,7234 is 2.
Thus, LCM of Fractions is 2460045.Finally, LCM of Fractions for 6694/166, 1470/7234 is 2460045.