Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 791/178, 6608/4608 quickly i.e. 373352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 791/178, 6608/4608 is 373352.
LCM(791/178, 6608/4608) = 373352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 791/178,6608/4608
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 791,6608
Least Common Multiple of Numerators i.e. LCM of 791,6608 is 746704.
GCF of Denominators means GCF of 178,4608 as per the given fractions.
GCF of 178,4608 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 791,6608
7 | 791, 6608 |
113, 944 |
∴ So the LCM of the given numbers is 7 x 113 x 944 = 746704
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 791,6608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,6608) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(791,6608) x common factors =7 x 1 = 7
LCM(791,6608) = ( 791 × 6608 ) / 7
LCM(791,6608) = 5226928 / 7
LCM(791,6608) = 746704
Lets's calculate GCF of 178,4608
2 | 178, 4608 |
89, 2304 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 746704/2
Therefore the LCM of Fractions 791/178,6608/4608 is 373352
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 4608
List of positive integer factors of 4608 that divides 4608 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1152,1536,2304,4608
Greatest Common Factor
We found the factors 178,4608 . The biggest common factor number is the GCF number.
So the greatest common factor 178,4608 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 791/178, 6608/4608?
Answer: LCM of Numerators as per given numbers 791/178, 6608/4608 is
LCM of Numerators i.e. for 791,6608 is 746704
GCF of denominators i.e. for 178,4608 is 2.
Thus, LCM of Fractions is 373352.Finally, LCM of Fractions for 791/178, 6608/4608 is 373352.