Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/90, 49/98, 449/156 quickly i.e. 594027 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/90, 49/98, 449/156 is 594027.
LCM(54/90, 49/98, 449/156) = 594027
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/90,49/98,449/156
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 54,49,449
Least Common Multiple of Numerators i.e. LCM of 54,49,449 is 1188054.
GCF of Denominators means GCF of 90,98,156 as per the given fractions.
GCF of 90,98,156 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,49,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 1188054
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 54,49,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,49,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,49,449) x common factors =1 x 1 = 1
LCM(54,49,449) = ( 54 × 49 × 449 ) / 1
LCM(54,49,449) = 1188054 / 1
LCM(54,49,449) = 1188054
Lets's calculate GCF of 90,98,156
2 | 90, 98, 156 |
45, 49, 78 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1188054/2
Therefore the LCM of Fractions 54/90,49/98,449/156 is 594027
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
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 90,98,156 . The biggest common factor number is the GCF number.
So the greatest common factor 90,98,156 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 54/90, 49/98, 449/156?
Answer: LCM of Numerators as per given numbers 54/90, 49/98, 449/156 is
LCM of Numerators i.e. for 54,49,449 is 1188054
GCF of denominators i.e. for 90,98,156 is 2.
Thus, LCM of Fractions is 594027.Finally, LCM of Fractions for 54/90, 49/98, 449/156 is 594027.