Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/335, 151/701, 959/465 quickly i.e. 10715866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/335, 151/701, 959/465 is 10715866.
LCM(74/335, 151/701, 959/465) = 10715866
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/335,151/701,959/465
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 74,151,959
Least Common Multiple of Numerators i.e. LCM of 74,151,959 is 10715866.
GCF of Denominators means GCF of 335,701,465 as per the given fractions.
GCF of 335,701,465 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,151,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 10715866
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 74,151,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,151,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,151,959) x common factors =1 x 1 = 1
LCM(74,151,959) = ( 74 × 151 × 959 ) / 1
LCM(74,151,959) = 10715866 / 1
LCM(74,151,959) = 10715866
Lets's calculate GCF of 335,701,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10715866/1
Therefore the LCM of Fractions 74/335,151/701,959/465 is 10715866
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 335,701,465 . The biggest common factor number is the GCF number.
So the greatest common factor 335,701,465 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 74/335, 151/701, 959/465?
Answer: LCM of Numerators as per given numbers 74/335, 151/701, 959/465 is
LCM of Numerators i.e. for 74,151,959 is 10715866
GCF of denominators i.e. for 335,701,465 is 1.
Thus, LCM of Fractions is 10715866.Finally, LCM of Fractions for 74/335, 151/701, 959/465 is 10715866.