Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 447/278, 5440/156 quickly i.e. 1215840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 447/278, 5440/156 is 1215840.
LCM(447/278, 5440/156) = 1215840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 447/278,5440/156
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 447,5440
Least Common Multiple of Numerators i.e. LCM of 447,5440 is 2431680.
GCF of Denominators means GCF of 278,156 as per the given fractions.
GCF of 278,156 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 447,5440
Given numbers has no common factors except 1. So, there LCM is their product i.e 2431680
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 447,5440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,5440) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(447,5440) x common factors =1 x 1 = 1
LCM(447,5440) = ( 447 × 5440 ) / 1
LCM(447,5440) = 2431680 / 1
LCM(447,5440) = 2431680
Lets's calculate GCF of 278,156
2 | 278, 156 |
139, 78 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2431680/2
Therefore the LCM of Fractions 447/278,5440/156 is 1215840
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 278,156 . The biggest common factor number is the GCF number.
So the greatest common factor 278,156 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 447/278, 5440/156?
Answer: LCM of Numerators as per given numbers 447/278, 5440/156 is
LCM of Numerators i.e. for 447,5440 is 2431680
GCF of denominators i.e. for 278,156 is 2.
Thus, LCM of Fractions is 1215840.Finally, LCM of Fractions for 447/278, 5440/156 is 1215840.