Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 762/483, 404/926, 757/811 quickly i.e. 116520468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 762/483, 404/926, 757/811 is 116520468.
LCM(762/483, 404/926, 757/811) = 116520468
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 762/483,404/926,757/811
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 762,404,757
Least Common Multiple of Numerators i.e. LCM of 762,404,757 is 116520468.
GCF of Denominators means GCF of 483,926,811 as per the given fractions.
GCF of 483,926,811 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 762,404,757
2 | 762, 404, 757 |
381, 202, 757 |
∴ So the LCM of the given numbers is 2 x 381 x 202 x 757 = 116520468
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 762,404,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,404,757) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(762,404,757) x common factors =1 x 2 = 2
LCM(762,404,757) = ( 762 × 404 × 757 ) / 2
LCM(762,404,757) = 233040936 / 2
LCM(762,404,757) = 116520468
Lets's calculate GCF of 483,926,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116520468/1
Therefore the LCM of Fractions 762/483,404/926,757/811 is 116520468
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 483,926,811 . The biggest common factor number is the GCF number.
So the greatest common factor 483,926,811 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 762/483, 404/926, 757/811?
Answer: LCM of Numerators as per given numbers 762/483, 404/926, 757/811 is
LCM of Numerators i.e. for 762,404,757 is 116520468
GCF of denominators i.e. for 483,926,811 is 1.
Thus, LCM of Fractions is 116520468.Finally, LCM of Fractions for 762/483, 404/926, 757/811 is 116520468.