Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 252/56, 653/76, 896/990 quickly i.e. 2632896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 252/56, 653/76, 896/990 is 2632896.
LCM(252/56, 653/76, 896/990) = 2632896
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 252/56,653/76,896/990
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 252,653,896
Least Common Multiple of Numerators i.e. LCM of 252,653,896 is 5265792.
GCF of Denominators means GCF of 56,76,990 as per the given fractions.
GCF of 56,76,990 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 252,653,896
2 | 252, 653, 896 |
2 | 126, 653, 448 |
7 | 63, 653, 224 |
9, 653, 32 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 9 x 653 x 32 = 5265792
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 252,653,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,653,896) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(252,653,896) x common factors =1 x 28 = 28
LCM(252,653,896) = ( 252 × 653 × 896 ) / 28
LCM(252,653,896) = 147442176 / 28
LCM(252,653,896) = 5265792
Lets's calculate GCF of 56,76,990
2 | 56, 76, 990 |
28, 38, 495 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5265792/2
Therefore the LCM of Fractions 252/56,653/76,896/990 is 2632896
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 56,76,990 . The biggest common factor number is the GCF number.
So the greatest common factor 56,76,990 is 2.
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 252/56, 653/76, 896/990?
Answer: LCM of Numerators as per given numbers 252/56, 653/76, 896/990 is
LCM of Numerators i.e. for 252,653,896 is 5265792
GCF of denominators i.e. for 56,76,990 is 2.
Thus, LCM of Fractions is 2632896.Finally, LCM of Fractions for 252/56, 653/76, 896/990 is 2632896.