Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/216, 17/788, 279/343 quickly i.e. 365211 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/216, 17/788, 279/343 is 365211.
LCM(77/216, 17/788, 279/343) = 365211
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/216,17/788,279/343
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 77,17,279
Least Common Multiple of Numerators i.e. LCM of 77,17,279 is 365211.
GCF of Denominators means GCF of 216,788,343 as per the given fractions.
GCF of 216,788,343 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,17,279
Given numbers has no common factors except 1. So, there LCM is their product i.e 365211
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 77,17,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,17,279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,17,279) x common factors =1 x 1 = 1
LCM(77,17,279) = ( 77 × 17 × 279 ) / 1
LCM(77,17,279) = 365211 / 1
LCM(77,17,279) = 365211
Lets's calculate GCF of 216,788,343
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365211/1
Therefore the LCM of Fractions 77/216,17/788,279/343 is 365211
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Factors of 343
List of positive integer factors of 343 that divides 343 without a remainder.
1,7,49,343
Greatest Common Factor
We found the factors 216,788,343 . The biggest common factor number is the GCF number.
So the greatest common factor 216,788,343 is 1.
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 77/216, 17/788, 279/343?
Answer: LCM of Numerators as per given numbers 77/216, 17/788, 279/343 is
LCM of Numerators i.e. for 77,17,279 is 365211
GCF of denominators i.e. for 216,788,343 is 1.
Thus, LCM of Fractions is 365211.Finally, LCM of Fractions for 77/216, 17/788, 279/343 is 365211.