Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/830, 18/771, 839/741 quickly i.e. 1434690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/830, 18/771, 839/741 is 1434690.
LCM(95/830, 18/771, 839/741) = 1434690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/830,18/771,839/741
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 95,18,839
Least Common Multiple of Numerators i.e. LCM of 95,18,839 is 1434690.
GCF of Denominators means GCF of 830,771,741 as per the given fractions.
GCF of 830,771,741 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,18,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 1434690
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 95,18,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,18,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,18,839) x common factors =1 x 1 = 1
LCM(95,18,839) = ( 95 × 18 × 839 ) / 1
LCM(95,18,839) = 1434690 / 1
LCM(95,18,839) = 1434690
Lets's calculate GCF of 830,771,741
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1434690/1
Therefore the LCM of Fractions 95/830,18/771,839/741 is 1434690
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 830,771,741 . The biggest common factor number is the GCF number.
So the greatest common factor 830,771,741 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 95/830, 18/771, 839/741?
Answer: LCM of Numerators as per given numbers 95/830, 18/771, 839/741 is
LCM of Numerators i.e. for 95,18,839 is 1434690
GCF of denominators i.e. for 830,771,741 is 1.
Thus, LCM of Fractions is 1434690.Finally, LCM of Fractions for 95/830, 18/771, 839/741 is 1434690.