Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 254/218, 735/323, 118/490 quickly i.e. 11014710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 254/218, 735/323, 118/490 is 11014710.
LCM(254/218, 735/323, 118/490) = 11014710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 254/218,735/323,118/490
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 254,735,118
Least Common Multiple of Numerators i.e. LCM of 254,735,118 is 11014710.
GCF of Denominators means GCF of 218,323,490 as per the given fractions.
GCF of 218,323,490 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 254,735,118
2 | 254, 735, 118 |
127, 735, 59 |
∴ So the LCM of the given numbers is 2 x 127 x 735 x 59 = 11014710
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 254,735,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,735,118) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(254,735,118) x common factors =1 x 2 = 2
LCM(254,735,118) = ( 254 × 735 × 118 ) / 2
LCM(254,735,118) = 22029420 / 2
LCM(254,735,118) = 11014710
Lets's calculate GCF of 218,323,490
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11014710/1
Therefore the LCM of Fractions 254/218,735/323,118/490 is 11014710
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 218,323,490 . The biggest common factor number is the GCF number.
So the greatest common factor 218,323,490 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 254/218, 735/323, 118/490?
Answer: LCM of Numerators as per given numbers 254/218, 735/323, 118/490 is
LCM of Numerators i.e. for 254,735,118 is 11014710
GCF of denominators i.e. for 218,323,490 is 1.
Thus, LCM of Fractions is 11014710.Finally, LCM of Fractions for 254/218, 735/323, 118/490 is 11014710.