Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7429/858, 4017/737 quickly i.e. 29842293/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7429/858, 4017/737 is 29842293/11.
LCM(7429/858, 4017/737) = 29842293/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7429/858,4017/737
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 7429,4017
Least Common Multiple of Numerators i.e. LCM of 7429,4017 is 29842293.
GCF of Denominators means GCF of 858,737 as per the given fractions.
GCF of 858,737 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7429,4017
Given numbers has no common factors except 1. So, there LCM is their product i.e 29842293
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 7429,4017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7429,4017) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7429,4017) x common factors =1 x 1 = 1
LCM(7429,4017) = ( 7429 × 4017 ) / 1
LCM(7429,4017) = 29842293 / 1
LCM(7429,4017) = 29842293
Lets's calculate GCF of 858,737
11 | 858, 737 |
78, 67 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29842293/11
Therefore the LCM of Fractions 7429/858,4017/737 is 29842293/11
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Greatest Common Factor
We found the factors 858,737 . The biggest common factor number is the GCF number.
So the greatest common factor 858,737 is 11.
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 7429/858, 4017/737?
Answer: LCM of Numerators as per given numbers 7429/858, 4017/737 is
LCM of Numerators i.e. for 7429,4017 is 29842293
GCF of denominators i.e. for 858,737 is 11.
Thus, LCM of Fractions is 29842293/11.Finally, LCM of Fractions for 7429/858, 4017/737 is 29842293/11.