Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/422, 751/535, 263/929 quickly i.e. 13035858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/422, 751/535, 263/929 is 13035858.
LCM(66/422, 751/535, 263/929) = 13035858
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/422,751/535,263/929
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 66,751,263
Least Common Multiple of Numerators i.e. LCM of 66,751,263 is 13035858.
GCF of Denominators means GCF of 422,535,929 as per the given fractions.
GCF of 422,535,929 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,751,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 13035858
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 66,751,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,751,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,751,263) x common factors =1 x 1 = 1
LCM(66,751,263) = ( 66 × 751 × 263 ) / 1
LCM(66,751,263) = 13035858 / 1
LCM(66,751,263) = 13035858
Lets's calculate GCF of 422,535,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13035858/1
Therefore the LCM of Fractions 66/422,751/535,263/929 is 13035858
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Greatest Common Factor
We found the factors 422,535,929 . The biggest common factor number is the GCF number.
So the greatest common factor 422,535,929 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 66/422, 751/535, 263/929?
Answer: LCM of Numerators as per given numbers 66/422, 751/535, 263/929 is
LCM of Numerators i.e. for 66,751,263 is 13035858
GCF of denominators i.e. for 422,535,929 is 1.
Thus, LCM of Fractions is 13035858.Finally, LCM of Fractions for 66/422, 751/535, 263/929 is 13035858.