Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 348/546, 6773/448 quickly i.e. 2357004/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 348/546, 6773/448 is 2357004/14.
LCM(348/546, 6773/448) = 2357004/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 348/546,6773/448
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 348,6773
Least Common Multiple of Numerators i.e. LCM of 348,6773 is 2357004.
GCF of Denominators means GCF of 546,448 as per the given fractions.
GCF of 546,448 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 348,6773
Given numbers has no common factors except 1. So, there LCM is their product i.e 2357004
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 348,6773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,6773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(348,6773) x common factors =1 x 1 = 1
LCM(348,6773) = ( 348 × 6773 ) / 1
LCM(348,6773) = 2357004 / 1
LCM(348,6773) = 2357004
Lets's calculate GCF of 546,448
2 | 546, 448 |
7 | 273, 224 |
39, 32 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2357004/14
Therefore the LCM of Fractions 348/546,6773/448 is 2357004/14
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Greatest Common Factor
We found the factors 546,448 . The biggest common factor number is the GCF number.
So the greatest common factor 546,448 is 14.
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 348/546, 6773/448?
Answer: LCM of Numerators as per given numbers 348/546, 6773/448 is
LCM of Numerators i.e. for 348,6773 is 2357004
GCF of denominators i.e. for 546,448 is 14.
Thus, LCM of Fractions is 2357004/14.Finally, LCM of Fractions for 348/546, 6773/448 is 2357004/14.