Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/828, 937/326, 616/608 quickly i.e. 3751748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/828, 937/326, 616/608 is 3751748.
LCM(26/828, 937/326, 616/608) = 3751748
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/828,937/326,616/608
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 26,937,616
Least Common Multiple of Numerators i.e. LCM of 26,937,616 is 7503496.
GCF of Denominators means GCF of 828,326,608 as per the given fractions.
GCF of 828,326,608 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,937,616
2 | 26, 937, 616 |
13, 937, 308 |
∴ So the LCM of the given numbers is 2 x 13 x 937 x 308 = 7503496
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 26,937,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,937,616) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,937,616) x common factors =1 x 2 = 2
LCM(26,937,616) = ( 26 × 937 × 616 ) / 2
LCM(26,937,616) = 15006992 / 2
LCM(26,937,616) = 7503496
Lets's calculate GCF of 828,326,608
2 | 828, 326, 608 |
414, 163, 304 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7503496/2
Therefore the LCM of Fractions 26/828,937/326,616/608 is 3751748
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 828,326,608 . The biggest common factor number is the GCF number.
So the greatest common factor 828,326,608 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 26/828, 937/326, 616/608?
Answer: LCM of Numerators as per given numbers 26/828, 937/326, 616/608 is
LCM of Numerators i.e. for 26,937,616 is 7503496
GCF of denominators i.e. for 828,326,608 is 2.
Thus, LCM of Fractions is 3751748.Finally, LCM of Fractions for 26/828, 937/326, 616/608 is 3751748.