Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/372, 944/266, 469/292 quickly i.e. 1106840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/372, 944/266, 469/292 is 1106840.
LCM(40/372, 944/266, 469/292) = 1106840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/372,944/266,469/292
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 40,944,469
Least Common Multiple of Numerators i.e. LCM of 40,944,469 is 2213680.
GCF of Denominators means GCF of 372,266,292 as per the given fractions.
GCF of 372,266,292 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,944,469
2 | 40, 944, 469 |
2 | 20, 472, 469 |
2 | 10, 236, 469 |
5, 118, 469 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 118 x 469 = 2213680
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 40,944,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,944,469) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(40,944,469) x common factors =1 x 8 = 8
LCM(40,944,469) = ( 40 × 944 × 469 ) / 8
LCM(40,944,469) = 17709440 / 8
LCM(40,944,469) = 2213680
Lets's calculate GCF of 372,266,292
2 | 372, 266, 292 |
186, 133, 146 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2213680/2
Therefore the LCM of Fractions 40/372,944/266,469/292 is 1106840
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 372,266,292 . The biggest common factor number is the GCF number.
So the greatest common factor 372,266,292 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 40/372, 944/266, 469/292?
Answer: LCM of Numerators as per given numbers 40/372, 944/266, 469/292 is
LCM of Numerators i.e. for 40,944,469 is 2213680
GCF of denominators i.e. for 372,266,292 is 2.
Thus, LCM of Fractions is 1106840.Finally, LCM of Fractions for 40/372, 944/266, 469/292 is 1106840.