Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 249/55, 154/95, 247/720 quickly i.e. 9471462/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 249/55, 154/95, 247/720 is 9471462/5.
LCM(249/55, 154/95, 247/720) = 9471462/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 249/55,154/95,247/720
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 249,154,247
Least Common Multiple of Numerators i.e. LCM of 249,154,247 is 9471462.
GCF of Denominators means GCF of 55,95,720 as per the given fractions.
GCF of 55,95,720 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 249,154,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 9471462
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 249,154,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,154,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,154,247) x common factors =1 x 1 = 1
LCM(249,154,247) = ( 249 × 154 × 247 ) / 1
LCM(249,154,247) = 9471462 / 1
LCM(249,154,247) = 9471462
Lets's calculate GCF of 55,95,720
5 | 55, 95, 720 |
11, 19, 144 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9471462/5
Therefore the LCM of Fractions 249/55,154/95,247/720 is 9471462/5
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 55,95,720 . The biggest common factor number is the GCF number.
So the greatest common factor 55,95,720 is 5.
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 249/55, 154/95, 247/720?
Answer: LCM of Numerators as per given numbers 249/55, 154/95, 247/720 is
LCM of Numerators i.e. for 249,154,247 is 9471462
GCF of denominators i.e. for 55,95,720 is 5.
Thus, LCM of Fractions is 9471462/5.Finally, LCM of Fractions for 249/55, 154/95, 247/720 is 9471462/5.