Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/674, 47/202, 55/718 quickly i.e. 18095/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/674, 47/202, 55/718 is 18095/2.
LCM(7/674, 47/202, 55/718) = 18095/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/674,47/202,55/718
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 7,47,55
Least Common Multiple of Numerators i.e. LCM of 7,47,55 is 18095.
GCF of Denominators means GCF of 674,202,718 as per the given fractions.
GCF of 674,202,718 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,47,55
Given numbers has no common factors except 1. So, there LCM is their product i.e 18095
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 7,47,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,47,55) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,47,55) x common factors =1 x 1 = 1
LCM(7,47,55) = ( 7 × 47 × 55 ) / 1
LCM(7,47,55) = 18095 / 1
LCM(7,47,55) = 18095
Lets's calculate GCF of 674,202,718
2 | 674, 202, 718 |
337, 101, 359 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18095/2
Therefore the LCM of Fractions 7/674,47/202,55/718 is 18095/2
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Greatest Common Factor
We found the factors 674,202,718 . The biggest common factor number is the GCF number.
So the greatest common factor 674,202,718 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 7/674, 47/202, 55/718?
Answer: LCM of Numerators as per given numbers 7/674, 47/202, 55/718 is
LCM of Numerators i.e. for 7,47,55 is 18095
GCF of denominators i.e. for 674,202,718 is 2.
Thus, LCM of Fractions is 18095/2.Finally, LCM of Fractions for 7/674, 47/202, 55/718 is 18095/2.