Least Common Multiple of 77/44, 30/60, 16/21, 55/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/44, 30/60, 16/21, 55/188 quickly i.e. 18480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/44, 30/60, 16/21, 55/188 is 18480.

LCM(77/44, 30/60, 16/21, 55/188) = 18480

LCM of 77/44, 30/60, 16/21, 55/188

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 77/44,30/60,16/21,55/188

Given numbers are 77/44,30/60,16/21,55/188

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 77,30,16,55

Least Common Multiple of Numerators i.e. LCM of 77,30,16,55 is 18480.

GCF of Denominators means GCF of 44,60,21,188 as per the given fractions.

GCF of 44,60,21,188 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,30,16,55

LCM of Fractions 77/44,30/60,16/21,55/188 is 18480

2 77, 30, 16, 55
5 77, 15, 8, 55
11 77, 3, 8, 11
7, 3, 8, 1

∴ So the LCM of the given numbers is 2 x 5 x 11 x 7 x 3 x 8 x 1 = 18480

Least Common Multiple of 77,30,16,55 with GCF Formula

Least Common Multiple of 77,30,16,55 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 77,30,16,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,30,16,55) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(77,30,16,55) x common factors =1 x 110 = 110

LCM(77,30,16,55) = ( 77 × 30 × 16 × 55 ) / 110

LCM(77,30,16,55) = 2032800 / 110

LCM(77,30,16,55) = 18480


Lets's calculate GCF of 44,60,21,188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18480/1

Therefore the LCM of Fractions 77/44,30/60,16/21,55/188 is 18480

Greatest Common Factor of 44,60,21,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,60,21,188 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

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 44,60,21,188 . The biggest common factor number is the GCF number.
So the greatest common factor 44,60,21,188 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 77/44, 30/60, 16/21, 55/188

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 77/44, 30/60, 16/21, 55/188?

Answer: LCM of Numerators as per given numbers 77/44, 30/60, 16/21, 55/188 is

LCM of Numerators i.e. for 77,30,16,55 is 18480

GCF of denominators i.e. for 44,60,21,188 is 1.

Thus, LCM of Fractions is 18480.Finally, LCM of Fractions for 77/44, 30/60, 16/21, 55/188 is 18480.