Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1898/270, 7535/624 quickly i.e. 14301430/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1898/270, 7535/624 is 14301430/6.
LCM(1898/270, 7535/624) = 14301430/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1898/270,7535/624
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 1898,7535
Least Common Multiple of Numerators i.e. LCM of 1898,7535 is 14301430.
GCF of Denominators means GCF of 270,624 as per the given fractions.
GCF of 270,624 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1898,7535
Given numbers has no common factors except 1. So, there LCM is their product i.e 14301430
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 1898,7535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1898,7535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1898,7535) x common factors =1 x 1 = 1
LCM(1898,7535) = ( 1898 × 7535 ) / 1
LCM(1898,7535) = 14301430 / 1
LCM(1898,7535) = 14301430
Lets's calculate GCF of 270,624
2 | 270, 624 |
3 | 135, 312 |
45, 104 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14301430/6
Therefore the LCM of Fractions 1898/270,7535/624 is 14301430/6
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 270,624 . The biggest common factor number is the GCF number.
So the greatest common factor 270,624 is 6.
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 1898/270, 7535/624?
Answer: LCM of Numerators as per given numbers 1898/270, 7535/624 is
LCM of Numerators i.e. for 1898,7535 is 14301430
GCF of denominators i.e. for 270,624 is 6.
Thus, LCM of Fractions is 14301430/6.Finally, LCM of Fractions for 1898/270, 7535/624 is 14301430/6.