Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6416/346, 1958/713 quickly i.e. 6281264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6416/346, 1958/713 is 6281264.
LCM(6416/346, 1958/713) = 6281264
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6416/346,1958/713
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 6416,1958
Least Common Multiple of Numerators i.e. LCM of 6416,1958 is 6281264.
GCF of Denominators means GCF of 346,713 as per the given fractions.
GCF of 346,713 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6416,1958
2 | 6416, 1958 |
3208, 979 |
∴ So the LCM of the given numbers is 2 x 3208 x 979 = 6281264
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 6416,1958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6416,1958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6416,1958) x common factors =2 x 1 = 2
LCM(6416,1958) = ( 6416 × 1958 ) / 2
LCM(6416,1958) = 12562528 / 2
LCM(6416,1958) = 6281264
Lets's calculate GCF of 346,713
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6281264/1
Therefore the LCM of Fractions 6416/346,1958/713 is 6281264
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Greatest Common Factor
We found the factors 346,713 . The biggest common factor number is the GCF number.
So the greatest common factor 346,713 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 6416/346, 1958/713?
Answer: LCM of Numerators as per given numbers 6416/346, 1958/713 is
LCM of Numerators i.e. for 6416,1958 is 6281264
GCF of denominators i.e. for 346,713 is 1.
Thus, LCM of Fractions is 6281264.Finally, LCM of Fractions for 6416/346, 1958/713 is 6281264.