Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/761, 25/926, 47/670 quickly i.e. 4700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/761, 25/926, 47/670 is 4700.
LCM(4/761, 25/926, 47/670) = 4700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/761,25/926,47/670
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 4,25,47
Least Common Multiple of Numerators i.e. LCM of 4,25,47 is 4700.
GCF of Denominators means GCF of 761,926,670 as per the given fractions.
GCF of 761,926,670 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,25,47
Given numbers has no common factors except 1. So, there LCM is their product i.e 4700
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 4,25,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,25,47) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4,25,47) x common factors =1 x 1 = 1
LCM(4,25,47) = ( 4 × 25 × 47 ) / 1
LCM(4,25,47) = 4700 / 1
LCM(4,25,47) = 4700
Lets's calculate GCF of 761,926,670
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4700/1
Therefore the LCM of Fractions 4/761,25/926,47/670 is 4700
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 761,926,670 . The biggest common factor number is the GCF number.
So the greatest common factor 761,926,670 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 4/761, 25/926, 47/670?
Answer: LCM of Numerators as per given numbers 4/761, 25/926, 47/670 is
LCM of Numerators i.e. for 4,25,47 is 4700
GCF of denominators i.e. for 761,926,670 is 1.
Thus, LCM of Fractions is 4700.Finally, LCM of Fractions for 4/761, 25/926, 47/670 is 4700.