Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/456, 904/938, 944/425 quickly i.e. 6933680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/456, 904/938, 944/425 is 6933680.
LCM(65/456, 904/938, 944/425) = 6933680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/456,904/938,944/425
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 65,904,944
Least Common Multiple of Numerators i.e. LCM of 65,904,944 is 6933680.
GCF of Denominators means GCF of 456,938,425 as per the given fractions.
GCF of 456,938,425 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,904,944
2 | 65, 904, 944 |
2 | 65, 452, 472 |
2 | 65, 226, 236 |
65, 113, 118 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 113 x 118 = 6933680
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 65,904,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,904,944) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(65,904,944) x common factors =1 x 8 = 8
LCM(65,904,944) = ( 65 × 904 × 944 ) / 8
LCM(65,904,944) = 55469440 / 8
LCM(65,904,944) = 6933680
Lets's calculate GCF of 456,938,425
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6933680/1
Therefore the LCM of Fractions 65/456,904/938,944/425 is 6933680
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 456,938,425 . The biggest common factor number is the GCF number.
So the greatest common factor 456,938,425 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 65/456, 904/938, 944/425?
Answer: LCM of Numerators as per given numbers 65/456, 904/938, 944/425 is
LCM of Numerators i.e. for 65,904,944 is 6933680
GCF of denominators i.e. for 456,938,425 is 1.
Thus, LCM of Fractions is 6933680.Finally, LCM of Fractions for 65/456, 904/938, 944/425 is 6933680.