Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/466, 42/527, 715/692 quickly i.e. 930930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/466, 42/527, 715/692 is 930930.
LCM(31/466, 42/527, 715/692) = 930930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/466,42/527,715/692
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 31,42,715
Least Common Multiple of Numerators i.e. LCM of 31,42,715 is 930930.
GCF of Denominators means GCF of 466,527,692 as per the given fractions.
GCF of 466,527,692 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,42,715
Given numbers has no common factors except 1. So, there LCM is their product i.e 930930
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 31,42,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,42,715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,42,715) x common factors =1 x 1 = 1
LCM(31,42,715) = ( 31 × 42 × 715 ) / 1
LCM(31,42,715) = 930930 / 1
LCM(31,42,715) = 930930
Lets's calculate GCF of 466,527,692
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 930930/1
Therefore the LCM of Fractions 31/466,42/527,715/692 is 930930
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Greatest Common Factor
We found the factors 466,527,692 . The biggest common factor number is the GCF number.
So the greatest common factor 466,527,692 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 31/466, 42/527, 715/692?
Answer: LCM of Numerators as per given numbers 31/466, 42/527, 715/692 is
LCM of Numerators i.e. for 31,42,715 is 930930
GCF of denominators i.e. for 466,527,692 is 1.
Thus, LCM of Fractions is 930930.Finally, LCM of Fractions for 31/466, 42/527, 715/692 is 930930.