Least Common Multiple of 47/41, 45/55, 14/49, 91/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/41, 45/55, 14/49, 91/188 quickly i.e. 384930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/41, 45/55, 14/49, 91/188 is 384930.

LCM(47/41, 45/55, 14/49, 91/188) = 384930

LCM of 47/41, 45/55, 14/49, 91/188

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 47/41,45/55,14/49,91/188

Given numbers are 47/41,45/55,14/49,91/188

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 47,45,14,91

Least Common Multiple of Numerators i.e. LCM of 47,45,14,91 is 384930.

GCF of Denominators means GCF of 41,55,49,188 as per the given fractions.

GCF of 41,55,49,188 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,45,14,91

LCM of Fractions 47/41,45/55,14/49,91/188 is 384930

7 47, 45, 14, 91
47, 45, 2, 13

∴ So the LCM of the given numbers is 7 x 47 x 45 x 2 x 13 = 384930

Least Common Multiple of 47,45,14,91 with GCF Formula

Least Common Multiple of 47,45,14,91 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 47,45,14,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,45,14,91) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(47,45,14,91) x common factors =1 x 7 = 7

LCM(47,45,14,91) = ( 47 × 45 × 14 × 91 ) / 7

LCM(47,45,14,91) = 2694510 / 7

LCM(47,45,14,91) = 384930


Lets's calculate GCF of 41,55,49,188

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 384930/1

Therefore the LCM of Fractions 47/41,45/55,14/49,91/188 is 384930

Greatest Common Factor of 41,55,49,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,55,49,188 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 188

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

1,2,4,47,94,188

Greatest Common Factor

We found the factors 41,55,49,188 . The biggest common factor number is the GCF number.
So the greatest common factor 41,55,49,188 is 1.


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 47/41, 45/55, 14/49, 91/188

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 47/41, 45/55, 14/49, 91/188?

Answer: LCM of Numerators as per given numbers 47/41, 45/55, 14/49, 91/188 is

LCM of Numerators i.e. for 47,45,14,91 is 384930

GCF of denominators i.e. for 41,55,49,188 is 1.

Thus, LCM of Fractions is 384930.Finally, LCM of Fractions for 47/41, 45/55, 14/49, 91/188 is 384930.