Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/145, 76/949, 854/467 quickly i.e. 1200724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/145, 76/949, 854/467 is 1200724.
LCM(74/145, 76/949, 854/467) = 1200724
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/145,76/949,854/467
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 74,76,854
Least Common Multiple of Numerators i.e. LCM of 74,76,854 is 1200724.
GCF of Denominators means GCF of 145,949,467 as per the given fractions.
GCF of 145,949,467 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,76,854
2 | 74, 76, 854 |
37, 38, 427 |
∴ So the LCM of the given numbers is 2 x 37 x 38 x 427 = 1200724
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 74,76,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,76,854) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(74,76,854) x common factors =2 x 2 = 4
LCM(74,76,854) = ( 74 × 76 × 854 ) / 4
LCM(74,76,854) = 4802896 / 4
LCM(74,76,854) = 1200724
Lets's calculate GCF of 145,949,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1200724/1
Therefore the LCM of Fractions 74/145,76/949,854/467 is 1200724
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Greatest Common Factor
We found the factors 145,949,467 . The biggest common factor number is the GCF number.
So the greatest common factor 145,949,467 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 74/145, 76/949, 854/467?
Answer: LCM of Numerators as per given numbers 74/145, 76/949, 854/467 is
LCM of Numerators i.e. for 74,76,854 is 1200724
GCF of denominators i.e. for 145,949,467 is 1.
Thus, LCM of Fractions is 1200724.Finally, LCM of Fractions for 74/145, 76/949, 854/467 is 1200724.