Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/951, 271/433, 973/532 quickly i.e. 18721493 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/951, 271/433, 973/532 is 18721493.
LCM(71/951, 271/433, 973/532) = 18721493
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/951,271/433,973/532
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 71,271,973
Least Common Multiple of Numerators i.e. LCM of 71,271,973 is 18721493.
GCF of Denominators means GCF of 951,433,532 as per the given fractions.
GCF of 951,433,532 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,271,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 18721493
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 71,271,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,271,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,271,973) x common factors =1 x 1 = 1
LCM(71,271,973) = ( 71 × 271 × 973 ) / 1
LCM(71,271,973) = 18721493 / 1
LCM(71,271,973) = 18721493
Lets's calculate GCF of 951,433,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18721493/1
Therefore the LCM of Fractions 71/951,271/433,973/532 is 18721493
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 951,433,532 . The biggest common factor number is the GCF number.
So the greatest common factor 951,433,532 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 71/951, 271/433, 973/532?
Answer: LCM of Numerators as per given numbers 71/951, 271/433, 973/532 is
LCM of Numerators i.e. for 71,271,973 is 18721493
GCF of denominators i.e. for 951,433,532 is 1.
Thus, LCM of Fractions is 18721493.Finally, LCM of Fractions for 71/951, 271/433, 973/532 is 18721493.