Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/62, 43/304, 47/672 quickly i.e. 6063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/62, 43/304, 47/672 is 6063.
LCM(6/62, 43/304, 47/672) = 6063
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/62,43/304,47/672
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 6,43,47
Least Common Multiple of Numerators i.e. LCM of 6,43,47 is 12126.
GCF of Denominators means GCF of 62,304,672 as per the given fractions.
GCF of 62,304,672 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,43,47
Given numbers has no common factors except 1. So, there LCM is their product i.e 12126
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 6,43,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,43,47) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6,43,47) x common factors =1 x 1 = 1
LCM(6,43,47) = ( 6 × 43 × 47 ) / 1
LCM(6,43,47) = 12126 / 1
LCM(6,43,47) = 12126
Lets's calculate GCF of 62,304,672
2 | 62, 304, 672 |
31, 152, 336 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12126/2
Therefore the LCM of Fractions 6/62,43/304,47/672 is 6063
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 62,304,672 . The biggest common factor number is the GCF number.
So the greatest common factor 62,304,672 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 6/62, 43/304, 47/672?
Answer: LCM of Numerators as per given numbers 6/62, 43/304, 47/672 is
LCM of Numerators i.e. for 6,43,47 is 12126
GCF of denominators i.e. for 62,304,672 is 2.
Thus, LCM of Fractions is 6063.Finally, LCM of Fractions for 6/62, 43/304, 47/672 is 6063.