Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 188/310, 202/507, 152/262 quickly i.e. 721544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 188/310, 202/507, 152/262 is 721544.
LCM(188/310, 202/507, 152/262) = 721544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 188/310,202/507,152/262
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 188,202,152
Least Common Multiple of Numerators i.e. LCM of 188,202,152 is 721544.
GCF of Denominators means GCF of 310,507,262 as per the given fractions.
GCF of 310,507,262 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 188,202,152
2 | 188, 202, 152 |
2 | 94, 101, 76 |
47, 101, 38 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 101 x 38 = 721544
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 188,202,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,202,152) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(188,202,152) x common factors =2 x 4 = 8
LCM(188,202,152) = ( 188 × 202 × 152 ) / 8
LCM(188,202,152) = 5772352 / 8
LCM(188,202,152) = 721544
Lets's calculate GCF of 310,507,262
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 721544/1
Therefore the LCM of Fractions 188/310,202/507,152/262 is 721544
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Greatest Common Factor
We found the factors 310,507,262 . The biggest common factor number is the GCF number.
So the greatest common factor 310,507,262 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 188/310, 202/507, 152/262?
Answer: LCM of Numerators as per given numbers 188/310, 202/507, 152/262 is
LCM of Numerators i.e. for 188,202,152 is 721544
GCF of denominators i.e. for 310,507,262 is 1.
Thus, LCM of Fractions is 721544.Finally, LCM of Fractions for 188/310, 202/507, 152/262 is 721544.