Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6102/672, 5176/310 quickly i.e. 7895988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6102/672, 5176/310 is 7895988.
LCM(6102/672, 5176/310) = 7895988
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6102/672,5176/310
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 6102,5176
Least Common Multiple of Numerators i.e. LCM of 6102,5176 is 15791976.
GCF of Denominators means GCF of 672,310 as per the given fractions.
GCF of 672,310 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6102,5176
2 | 6102, 5176 |
3051, 2588 |
∴ So the LCM of the given numbers is 2 x 3051 x 2588 = 15791976
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 6102,5176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6102,5176) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6102,5176) x common factors =2 x 1 = 2
LCM(6102,5176) = ( 6102 × 5176 ) / 2
LCM(6102,5176) = 31583952 / 2
LCM(6102,5176) = 15791976
Lets's calculate GCF of 672,310
2 | 672, 310 |
336, 155 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15791976/2
Therefore the LCM of Fractions 6102/672,5176/310 is 7895988
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors 672,310 . The biggest common factor number is the GCF number.
So the greatest common factor 672,310 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 6102/672, 5176/310?
Answer: LCM of Numerators as per given numbers 6102/672, 5176/310 is
LCM of Numerators i.e. for 6102,5176 is 15791976
GCF of denominators i.e. for 672,310 is 2.
Thus, LCM of Fractions is 7895988.Finally, LCM of Fractions for 6102/672, 5176/310 is 7895988.