Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/209, 738/950, 854/776 quickly i.e. 14810922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/209, 738/950, 854/776 is 14810922.
LCM(94/209, 738/950, 854/776) = 14810922
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/209,738/950,854/776
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 94,738,854
Least Common Multiple of Numerators i.e. LCM of 94,738,854 is 14810922.
GCF of Denominators means GCF of 209,950,776 as per the given fractions.
GCF of 209,950,776 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,738,854
2 | 94, 738, 854 |
47, 369, 427 |
∴ So the LCM of the given numbers is 2 x 47 x 369 x 427 = 14810922
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 94,738,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,738,854) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(94,738,854) x common factors =2 x 2 = 4
LCM(94,738,854) = ( 94 × 738 × 854 ) / 4
LCM(94,738,854) = 59243688 / 4
LCM(94,738,854) = 14810922
Lets's calculate GCF of 209,950,776
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14810922/1
Therefore the LCM of Fractions 94/209,738/950,854/776 is 14810922
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Greatest Common Factor
We found the factors 209,950,776 . The biggest common factor number is the GCF number.
So the greatest common factor 209,950,776 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 94/209, 738/950, 854/776?
Answer: LCM of Numerators as per given numbers 94/209, 738/950, 854/776 is
LCM of Numerators i.e. for 94,738,854 is 14810922
GCF of denominators i.e. for 209,950,776 is 1.
Thus, LCM of Fractions is 14810922.Finally, LCM of Fractions for 94/209, 738/950, 854/776 is 14810922.