Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1807/68, 7489/296 quickly i.e. 13532623/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1807/68, 7489/296 is 13532623/4.
LCM(1807/68, 7489/296) = 13532623/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1807/68,7489/296
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 1807,7489
Least Common Multiple of Numerators i.e. LCM of 1807,7489 is 13532623.
GCF of Denominators means GCF of 68,296 as per the given fractions.
GCF of 68,296 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1807,7489
Given numbers has no common factors except 1. So, there LCM is their product i.e 13532623
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 1807,7489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1807,7489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1807,7489) x common factors =1 x 1 = 1
LCM(1807,7489) = ( 1807 × 7489 ) / 1
LCM(1807,7489) = 13532623 / 1
LCM(1807,7489) = 13532623
Lets's calculate GCF of 68,296
2 | 68, 296 |
2 | 34, 148 |
17, 74 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13532623/4
Therefore the LCM of Fractions 1807/68,7489/296 is 13532623/4
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 68,296 . The biggest common factor number is the GCF number.
So the greatest common factor 68,296 is 4.
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 1807/68, 7489/296?
Answer: LCM of Numerators as per given numbers 1807/68, 7489/296 is
LCM of Numerators i.e. for 1807,7489 is 13532623
GCF of denominators i.e. for 68,296 is 4.
Thus, LCM of Fractions is 13532623/4.Finally, LCM of Fractions for 1807/68, 7489/296 is 13532623/4.