Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/84, 60/429, 591/222 quickly i.e. 208820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/84, 60/429, 591/222 is 208820.
LCM(53/84, 60/429, 591/222) = 208820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/84,60/429,591/222
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 53,60,591
Least Common Multiple of Numerators i.e. LCM of 53,60,591 is 626460.
GCF of Denominators means GCF of 84,429,222 as per the given fractions.
GCF of 84,429,222 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,60,591
3 | 53, 60, 591 |
53, 20, 197 |
∴ So the LCM of the given numbers is 3 x 53 x 20 x 197 = 626460
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 53,60,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,60,591) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(53,60,591) x common factors =1 x 3 = 3
LCM(53,60,591) = ( 53 × 60 × 591 ) / 3
LCM(53,60,591) = 1879380 / 3
LCM(53,60,591) = 626460
Lets's calculate GCF of 84,429,222
3 | 84, 429, 222 |
28, 143, 74 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 626460/3
Therefore the LCM of Fractions 53/84,60/429,591/222 is 208820
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
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 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 84,429,222 . The biggest common factor number is the GCF number.
So the greatest common factor 84,429,222 is 3.
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 53/84, 60/429, 591/222?
Answer: LCM of Numerators as per given numbers 53/84, 60/429, 591/222 is
LCM of Numerators i.e. for 53,60,591 is 626460
GCF of denominators i.e. for 84,429,222 is 3.
Thus, LCM of Fractions is 208820.Finally, LCM of Fractions for 53/84, 60/429, 591/222 is 208820.