Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/740, 8989/8102 quickly i.e. 404505/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/740, 8989/8102 is 404505/2.
LCM(45/740, 8989/8102) = 404505/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/740,8989/8102
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 45,8989
Least Common Multiple of Numerators i.e. LCM of 45,8989 is 404505.
GCF of Denominators means GCF of 740,8102 as per the given fractions.
GCF of 740,8102 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,8989
Given numbers has no common factors except 1. So, there LCM is their product i.e 404505
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 45,8989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,8989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,8989) x common factors =1 x 1 = 1
LCM(45,8989) = ( 45 × 8989 ) / 1
LCM(45,8989) = 404505 / 1
LCM(45,8989) = 404505
Lets's calculate GCF of 740,8102
2 | 740, 8102 |
370, 4051 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404505/2
Therefore the LCM of Fractions 45/740,8989/8102 is 404505/2
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 8102
List of positive integer factors of 8102 that divides 8102 without a remainder.
1,2,4051,8102
Greatest Common Factor
We found the factors 740,8102 . The biggest common factor number is the GCF number.
So the greatest common factor 740,8102 is 2.
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 45/740, 8989/8102?
Answer: LCM of Numerators as per given numbers 45/740, 8989/8102 is
LCM of Numerators i.e. for 45,8989 is 404505
GCF of denominators i.e. for 740,8102 is 2.
Thus, LCM of Fractions is 404505/2.Finally, LCM of Fractions for 45/740, 8989/8102 is 404505/2.