Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/133, 358/964, 645/381 quickly i.e. 18241890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/133, 358/964, 645/381 is 18241890.
LCM(79/133, 358/964, 645/381) = 18241890
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/133,358/964,645/381
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 79,358,645
Least Common Multiple of Numerators i.e. LCM of 79,358,645 is 18241890.
GCF of Denominators means GCF of 133,964,381 as per the given fractions.
GCF of 133,964,381 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,358,645
Given numbers has no common factors except 1. So, there LCM is their product i.e 18241890
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 79,358,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,358,645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,358,645) x common factors =1 x 1 = 1
LCM(79,358,645) = ( 79 × 358 × 645 ) / 1
LCM(79,358,645) = 18241890 / 1
LCM(79,358,645) = 18241890
Lets's calculate GCF of 133,964,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18241890/1
Therefore the LCM of Fractions 79/133,358/964,645/381 is 18241890
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Greatest Common Factor
We found the factors 133,964,381 . The biggest common factor number is the GCF number.
So the greatest common factor 133,964,381 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 79/133, 358/964, 645/381?
Answer: LCM of Numerators as per given numbers 79/133, 358/964, 645/381 is
LCM of Numerators i.e. for 79,358,645 is 18241890
GCF of denominators i.e. for 133,964,381 is 1.
Thus, LCM of Fractions is 18241890.Finally, LCM of Fractions for 79/133, 358/964, 645/381 is 18241890.