Least Common Multiple of 4123/188, 7555/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4123/188, 7555/470 quickly i.e. 31149265/94 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4123/188, 7555/470 is 31149265/94.

LCM(4123/188, 7555/470) = 31149265/94

LCM of 4123/188, 7555/470

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 4123/188,7555/470

Given numbers are 4123/188,7555/470

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 4123,7555

Least Common Multiple of Numerators i.e. LCM of 4123,7555 is 31149265.

GCF of Denominators means GCF of 188,470 as per the given fractions.

GCF of 188,470 is 94 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4123,7555

LCM of Fractions 4123/188,7555/470 is 31149265/94

Given numbers has no common factors except 1. So, there LCM is their product i.e 31149265

Least Common Multiple of 4123,7555 with GCF Formula

Least Common Multiple of 4123,7555 with GCF Formula

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 4123,7555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4123,7555) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(4123,7555) x common factors =1 x 1 = 1

LCM(4123,7555) = ( 4123 × 7555 ) / 1

LCM(4123,7555) = 31149265 / 1

LCM(4123,7555) = 31149265


Lets's calculate GCF of 188,470

2 188, 470
47 94, 235
2, 5

∴ So the GCF of the given numbers is 2 x 47 = 94

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31149265/94

Therefore the LCM of Fractions 4123/188,7555/470 is 31149265/94

Greatest Common Factor of 188,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,470 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 188,470 . The biggest common factor number is the GCF number.
So the greatest common factor 188,470 is 94.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 4123/188, 7555/470

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 4123/188, 7555/470?

Answer: LCM of Numerators as per given numbers 4123/188, 7555/470 is

LCM of Numerators i.e. for 4123,7555 is 31149265

GCF of denominators i.e. for 188,470 is 94.

Thus, LCM of Fractions is 31149265/94.Finally, LCM of Fractions for 4123/188, 7555/470 is 31149265/94.