Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/763, 43/179, 536/472 quickly i.e. 253528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/763, 43/179, 536/472 is 253528.
LCM(44/763, 43/179, 536/472) = 253528
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/763,43/179,536/472
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 44,43,536
Least Common Multiple of Numerators i.e. LCM of 44,43,536 is 253528.
GCF of Denominators means GCF of 763,179,472 as per the given fractions.
GCF of 763,179,472 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,43,536
2 | 44, 43, 536 |
2 | 22, 43, 268 |
11, 43, 134 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 43 x 134 = 253528
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 44,43,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,43,536) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(44,43,536) x common factors =1 x 4 = 4
LCM(44,43,536) = ( 44 × 43 × 536 ) / 4
LCM(44,43,536) = 1014112 / 4
LCM(44,43,536) = 253528
Lets's calculate GCF of 763,179,472
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253528/1
Therefore the LCM of Fractions 44/763,43/179,536/472 is 253528
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 763,179,472 . The biggest common factor number is the GCF number.
So the greatest common factor 763,179,472 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 44/763, 43/179, 536/472?
Answer: LCM of Numerators as per given numbers 44/763, 43/179, 536/472 is
LCM of Numerators i.e. for 44,43,536 is 253528
GCF of denominators i.e. for 763,179,472 is 1.
Thus, LCM of Fractions is 253528.Finally, LCM of Fractions for 44/763, 43/179, 536/472 is 253528.