Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/423, 19/295, 928/750 quickly i.e. 1357664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/423, 19/295, 928/750 is 1357664.
LCM(77/423, 19/295, 928/750) = 1357664
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/423,19/295,928/750
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 77,19,928
Least Common Multiple of Numerators i.e. LCM of 77,19,928 is 1357664.
GCF of Denominators means GCF of 423,295,750 as per the given fractions.
GCF of 423,295,750 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,19,928
Given numbers has no common factors except 1. So, there LCM is their product i.e 1357664
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 77,19,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,19,928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,19,928) x common factors =1 x 1 = 1
LCM(77,19,928) = ( 77 × 19 × 928 ) / 1
LCM(77,19,928) = 1357664 / 1
LCM(77,19,928) = 1357664
Lets's calculate GCF of 423,295,750
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1357664/1
Therefore the LCM of Fractions 77/423,19/295,928/750 is 1357664
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Greatest Common Factor
We found the factors 423,295,750 . The biggest common factor number is the GCF number.
So the greatest common factor 423,295,750 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 77/423, 19/295, 928/750?
Answer: LCM of Numerators as per given numbers 77/423, 19/295, 928/750 is
LCM of Numerators i.e. for 77,19,928 is 1357664
GCF of denominators i.e. for 423,295,750 is 1.
Thus, LCM of Fractions is 1357664.Finally, LCM of Fractions for 77/423, 19/295, 928/750 is 1357664.