Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 607/55, 504/35, 514/308 quickly i.e. 78623496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 607/55, 504/35, 514/308 is 78623496.
LCM(607/55, 504/35, 514/308) = 78623496
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 607/55,504/35,514/308
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 607,504,514
Least Common Multiple of Numerators i.e. LCM of 607,504,514 is 78623496.
GCF of Denominators means GCF of 55,35,308 as per the given fractions.
GCF of 55,35,308 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 607,504,514
2 | 607, 504, 514 |
607, 252, 257 |
∴ So the LCM of the given numbers is 2 x 607 x 252 x 257 = 78623496
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 607,504,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,504,514) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(607,504,514) x common factors =1 x 2 = 2
LCM(607,504,514) = ( 607 × 504 × 514 ) / 2
LCM(607,504,514) = 157246992 / 2
LCM(607,504,514) = 78623496
Lets's calculate GCF of 55,35,308
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78623496/1
Therefore the LCM of Fractions 607/55,504/35,514/308 is 78623496
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 55,35,308 . The biggest common factor number is the GCF number.
So the greatest common factor 55,35,308 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 607/55, 504/35, 514/308?
Answer: LCM of Numerators as per given numbers 607/55, 504/35, 514/308 is
LCM of Numerators i.e. for 607,504,514 is 78623496
GCF of denominators i.e. for 55,35,308 is 1.
Thus, LCM of Fractions is 78623496.Finally, LCM of Fractions for 607/55, 504/35, 514/308 is 78623496.