Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 238/32, 535/94, 185/692 quickly i.e. 2355605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 238/32, 535/94, 185/692 is 2355605.
LCM(238/32, 535/94, 185/692) = 2355605
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 238/32,535/94,185/692
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 238,535,185
Least Common Multiple of Numerators i.e. LCM of 238,535,185 is 4711210.
GCF of Denominators means GCF of 32,94,692 as per the given fractions.
GCF of 32,94,692 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 238,535,185
5 | 238, 535, 185 |
238, 107, 37 |
∴ So the LCM of the given numbers is 5 x 238 x 107 x 37 = 4711210
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 238,535,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,535,185) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(238,535,185) x common factors =1 x 5 = 5
LCM(238,535,185) = ( 238 × 535 × 185 ) / 5
LCM(238,535,185) = 23556050 / 5
LCM(238,535,185) = 4711210
Lets's calculate GCF of 32,94,692
2 | 32, 94, 692 |
16, 47, 346 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4711210/2
Therefore the LCM of Fractions 238/32,535/94,185/692 is 2355605
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Greatest Common Factor
We found the factors 32,94,692 . The biggest common factor number is the GCF number.
So the greatest common factor 32,94,692 is 2.
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 238/32, 535/94, 185/692?
Answer: LCM of Numerators as per given numbers 238/32, 535/94, 185/692 is
LCM of Numerators i.e. for 238,535,185 is 4711210
GCF of denominators i.e. for 32,94,692 is 2.
Thus, LCM of Fractions is 2355605.Finally, LCM of Fractions for 238/32, 535/94, 185/692 is 2355605.