Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3380/951, 5092/5116 quickly i.e. 4302740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3380/951, 5092/5116 is 4302740.
LCM(3380/951, 5092/5116) = 4302740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3380/951,5092/5116
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 3380,5092
Least Common Multiple of Numerators i.e. LCM of 3380,5092 is 4302740.
GCF of Denominators means GCF of 951,5116 as per the given fractions.
GCF of 951,5116 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3380,5092
2 | 3380, 5092 |
2 | 1690, 2546 |
845, 1273 |
∴ So the LCM of the given numbers is 2 x 2 x 845 x 1273 = 4302740
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 3380,5092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3380,5092) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(3380,5092) x common factors =4 x 1 = 4
LCM(3380,5092) = ( 3380 × 5092 ) / 4
LCM(3380,5092) = 17210960 / 4
LCM(3380,5092) = 4302740
Lets's calculate GCF of 951,5116
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4302740/1
Therefore the LCM of Fractions 3380/951,5092/5116 is 4302740
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 5116
List of positive integer factors of 5116 that divides 5116 without a remainder.
1,2,4,1279,2558,5116
Greatest Common Factor
We found the factors 951,5116 . The biggest common factor number is the GCF number.
So the greatest common factor 951,5116 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 3380/951, 5092/5116?
Answer: LCM of Numerators as per given numbers 3380/951, 5092/5116 is
LCM of Numerators i.e. for 3380,5092 is 4302740
GCF of denominators i.e. for 951,5116 is 1.
Thus, LCM of Fractions is 4302740.Finally, LCM of Fractions for 3380/951, 5092/5116 is 4302740.