Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7004/658, 1667/296 quickly i.e. 5837834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7004/658, 1667/296 is 5837834.
LCM(7004/658, 1667/296) = 5837834
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7004/658,1667/296
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 7004,1667
Least Common Multiple of Numerators i.e. LCM of 7004,1667 is 11675668.
GCF of Denominators means GCF of 658,296 as per the given fractions.
GCF of 658,296 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7004,1667
Given numbers has no common factors except 1. So, there LCM is their product i.e 11675668
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 7004,1667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7004,1667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7004,1667) x common factors =1 x 1 = 1
LCM(7004,1667) = ( 7004 × 1667 ) / 1
LCM(7004,1667) = 11675668 / 1
LCM(7004,1667) = 11675668
Lets's calculate GCF of 658,296
2 | 658, 296 |
329, 148 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11675668/2
Therefore the LCM of Fractions 7004/658,1667/296 is 5837834
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
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 658,296 . The biggest common factor number is the GCF number.
So the greatest common factor 658,296 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 7004/658, 1667/296?
Answer: LCM of Numerators as per given numbers 7004/658, 1667/296 is
LCM of Numerators i.e. for 7004,1667 is 11675668
GCF of denominators i.e. for 658,296 is 2.
Thus, LCM of Fractions is 5837834.Finally, LCM of Fractions for 7004/658, 1667/296 is 5837834.