Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 668/740, 723/767, 811/852 quickly i.e. 391683804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 668/740, 723/767, 811/852 is 391683804.
LCM(668/740, 723/767, 811/852) = 391683804
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 668/740,723/767,811/852
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 668,723,811
Least Common Multiple of Numerators i.e. LCM of 668,723,811 is 391683804.
GCF of Denominators means GCF of 740,767,852 as per the given fractions.
GCF of 740,767,852 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 668,723,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 391683804
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 668,723,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,723,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(668,723,811) x common factors =1 x 1 = 1
LCM(668,723,811) = ( 668 × 723 × 811 ) / 1
LCM(668,723,811) = 391683804 / 1
LCM(668,723,811) = 391683804
Lets's calculate GCF of 740,767,852
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 391683804/1
Therefore the LCM of Fractions 668/740,723/767,811/852 is 391683804
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 740,767,852 . The biggest common factor number is the GCF number.
So the greatest common factor 740,767,852 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 668/740, 723/767, 811/852?
Answer: LCM of Numerators as per given numbers 668/740, 723/767, 811/852 is
LCM of Numerators i.e. for 668,723,811 is 391683804
GCF of denominators i.e. for 740,767,852 is 1.
Thus, LCM of Fractions is 391683804.Finally, LCM of Fractions for 668/740, 723/767, 811/852 is 391683804.