Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/474, 63/101, 76/442 quickly i.e. 23940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/474, 63/101, 76/442 is 23940.
LCM(5/474, 63/101, 76/442) = 23940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/474,63/101,76/442
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 5,63,76
Least Common Multiple of Numerators i.e. LCM of 5,63,76 is 23940.
GCF of Denominators means GCF of 474,101,442 as per the given fractions.
GCF of 474,101,442 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,63,76
Given numbers has no common factors except 1. So, there LCM is their product i.e 23940
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 5,63,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,63,76) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,63,76) x common factors =1 x 1 = 1
LCM(5,63,76) = ( 5 × 63 × 76 ) / 1
LCM(5,63,76) = 23940 / 1
LCM(5,63,76) = 23940
Lets's calculate GCF of 474,101,442
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23940/1
Therefore the LCM of Fractions 5/474,63/101,76/442 is 23940
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 474,101,442 . The biggest common factor number is the GCF number.
So the greatest common factor 474,101,442 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 5/474, 63/101, 76/442?
Answer: LCM of Numerators as per given numbers 5/474, 63/101, 76/442 is
LCM of Numerators i.e. for 5,63,76 is 23940
GCF of denominators i.e. for 474,101,442 is 1.
Thus, LCM of Fractions is 23940.Finally, LCM of Fractions for 5/474, 63/101, 76/442 is 23940.