Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/644, 28/392, 967/982 quickly i.e. 1069502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/644, 28/392, 967/982 is 1069502.
LCM(79/644, 28/392, 967/982) = 1069502
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/644,28/392,967/982
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 79,28,967
Least Common Multiple of Numerators i.e. LCM of 79,28,967 is 2139004.
GCF of Denominators means GCF of 644,392,982 as per the given fractions.
GCF of 644,392,982 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,28,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 2139004
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 79,28,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,28,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,28,967) x common factors =1 x 1 = 1
LCM(79,28,967) = ( 79 × 28 × 967 ) / 1
LCM(79,28,967) = 2139004 / 1
LCM(79,28,967) = 2139004
Lets's calculate GCF of 644,392,982
2 | 644, 392, 982 |
322, 196, 491 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2139004/2
Therefore the LCM of Fractions 79/644,28/392,967/982 is 1069502
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Greatest Common Factor
We found the factors 644,392,982 . The biggest common factor number is the GCF number.
So the greatest common factor 644,392,982 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 79/644, 28/392, 967/982?
Answer: LCM of Numerators as per given numbers 79/644, 28/392, 967/982 is
LCM of Numerators i.e. for 79,28,967 is 2139004
GCF of denominators i.e. for 644,392,982 is 2.
Thus, LCM of Fractions is 1069502.Finally, LCM of Fractions for 79/644, 28/392, 967/982 is 1069502.