Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/738, 52/935, 962/526 quickly i.e. 136604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/738, 52/935, 962/526 is 136604.
LCM(71/738, 52/935, 962/526) = 136604
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/738,52/935,962/526
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 71,52,962
Least Common Multiple of Numerators i.e. LCM of 71,52,962 is 136604.
GCF of Denominators means GCF of 738,935,526 as per the given fractions.
GCF of 738,935,526 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,52,962
2 | 71, 52, 962 |
13 | 71, 26, 481 |
71, 2, 37 |
∴ So the LCM of the given numbers is 2 x 13 x 71 x 2 x 37 = 136604
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 71,52,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,52,962) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(71,52,962) x common factors =1 x 26 = 26
LCM(71,52,962) = ( 71 × 52 × 962 ) / 26
LCM(71,52,962) = 3551704 / 26
LCM(71,52,962) = 136604
Lets's calculate GCF of 738,935,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136604/1
Therefore the LCM of Fractions 71/738,52/935,962/526 is 136604
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 738,935,526 . The biggest common factor number is the GCF number.
So the greatest common factor 738,935,526 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 71/738, 52/935, 962/526?
Answer: LCM of Numerators as per given numbers 71/738, 52/935, 962/526 is
LCM of Numerators i.e. for 71,52,962 is 136604
GCF of denominators i.e. for 738,935,526 is 1.
Thus, LCM of Fractions is 136604.Finally, LCM of Fractions for 71/738, 52/935, 962/526 is 136604.