Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 196/56, 674/38, 240/292 quickly i.e. 1981560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 196/56, 674/38, 240/292 is 1981560.
LCM(196/56, 674/38, 240/292) = 1981560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 196/56,674/38,240/292
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 196,674,240
Least Common Multiple of Numerators i.e. LCM of 196,674,240 is 3963120.
GCF of Denominators means GCF of 56,38,292 as per the given fractions.
GCF of 56,38,292 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 196,674,240
2 | 196, 674, 240 |
2 | 98, 337, 120 |
49, 337, 60 |
∴ So the LCM of the given numbers is 2 x 2 x 49 x 337 x 60 = 3963120
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 196,674,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,674,240) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(196,674,240) x common factors =2 x 4 = 8
LCM(196,674,240) = ( 196 × 674 × 240 ) / 8
LCM(196,674,240) = 31704960 / 8
LCM(196,674,240) = 3963120
Lets's calculate GCF of 56,38,292
2 | 56, 38, 292 |
28, 19, 146 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3963120/2
Therefore the LCM of Fractions 196/56,674/38,240/292 is 1981560
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 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
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 56,38,292 . The biggest common factor number is the GCF number.
So the greatest common factor 56,38,292 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 196/56, 674/38, 240/292?
Answer: LCM of Numerators as per given numbers 196/56, 674/38, 240/292 is
LCM of Numerators i.e. for 196,674,240 is 3963120
GCF of denominators i.e. for 56,38,292 is 2.
Thus, LCM of Fractions is 1981560.Finally, LCM of Fractions for 196/56, 674/38, 240/292 is 1981560.