Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/429, 72/970, 908/550 quickly i.e. 1487304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/429, 72/970, 908/550 is 1487304.
LCM(91/429, 72/970, 908/550) = 1487304
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/429,72/970,908/550
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 91,72,908
Least Common Multiple of Numerators i.e. LCM of 91,72,908 is 1487304.
GCF of Denominators means GCF of 429,970,550 as per the given fractions.
GCF of 429,970,550 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,72,908
2 | 91, 72, 908 |
2 | 91, 36, 454 |
91, 18, 227 |
∴ So the LCM of the given numbers is 2 x 2 x 91 x 18 x 227 = 1487304
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 91,72,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,72,908) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(91,72,908) x common factors =1 x 4 = 4
LCM(91,72,908) = ( 91 × 72 × 908 ) / 4
LCM(91,72,908) = 5949216 / 4
LCM(91,72,908) = 1487304
Lets's calculate GCF of 429,970,550
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1487304/1
Therefore the LCM of Fractions 91/429,72/970,908/550 is 1487304
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 429,970,550 . The biggest common factor number is the GCF number.
So the greatest common factor 429,970,550 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 91/429, 72/970, 908/550?
Answer: LCM of Numerators as per given numbers 91/429, 72/970, 908/550 is
LCM of Numerators i.e. for 91,72,908 is 1487304
GCF of denominators i.e. for 429,970,550 is 1.
Thus, LCM of Fractions is 1487304.Finally, LCM of Fractions for 91/429, 72/970, 908/550 is 1487304.