Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7097/807, 3680/151 quickly i.e. 26116960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7097/807, 3680/151 is 26116960.
LCM(7097/807, 3680/151) = 26116960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7097/807,3680/151
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 7097,3680
Least Common Multiple of Numerators i.e. LCM of 7097,3680 is 26116960.
GCF of Denominators means GCF of 807,151 as per the given fractions.
GCF of 807,151 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7097,3680
Given numbers has no common factors except 1. So, there LCM is their product i.e 26116960
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 7097,3680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7097,3680) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7097,3680) x common factors =1 x 1 = 1
LCM(7097,3680) = ( 7097 × 3680 ) / 1
LCM(7097,3680) = 26116960 / 1
LCM(7097,3680) = 26116960
Lets's calculate GCF of 807,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26116960/1
Therefore the LCM of Fractions 7097/807,3680/151 is 26116960
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Greatest Common Factor
We found the factors 807,151 . The biggest common factor number is the GCF number.
So the greatest common factor 807,151 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 7097/807, 3680/151?
Answer: LCM of Numerators as per given numbers 7097/807, 3680/151 is
LCM of Numerators i.e. for 7097,3680 is 26116960
GCF of denominators i.e. for 807,151 is 1.
Thus, LCM of Fractions is 26116960.Finally, LCM of Fractions for 7097/807, 3680/151 is 26116960.