Least Common Multiple of 11/56, 66/77, 132/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/56, 66/77, 132/199 quickly i.e. 132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/56, 66/77, 132/199 is 132.

LCM(11/56, 66/77, 132/199) = 132

LCM of 11/56, 66/77, 132/199

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 11/56,66/77,132/199

Given numbers are 11/56,66/77,132/199

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 11,66,132

Least Common Multiple of Numerators i.e. LCM of 11,66,132 is 132.

GCF of Denominators means GCF of 56,77,199 as per the given fractions.

GCF of 56,77,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,66,132

LCM of Fractions 11/56,66/77,132/199 is 132

2 11, 66, 132
3 11, 33, 66
11 11, 11, 22
1, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 1 x 2 = 132

Least Common Multiple of 11,66,132 with GCF Formula

Least Common Multiple of 11,66,132 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 11,66,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,66,132) = 11

common factors(in case of two or more numbers have common factors) = 66

GCF(11,66,132) x common factors =11 x 66 = 726

LCM(11,66,132) = ( 11 × 66 × 132 ) / 726

LCM(11,66,132) = 95832 / 726

LCM(11,66,132) = 132


Lets's calculate GCF of 56,77,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132/1

Therefore the LCM of Fractions 11/56,66/77,132/199 is 132

Greatest Common Factor of 56,77,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,77,199 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 56,77,199 . The biggest common factor number is the GCF number.
So the greatest common factor 56,77,199 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/56, 66/77, 132/199

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 11/56, 66/77, 132/199?

Answer: LCM of Numerators as per given numbers 11/56, 66/77, 132/199 is

LCM of Numerators i.e. for 11,66,132 is 132

GCF of denominators i.e. for 56,77,199 is 1.

Thus, LCM of Fractions is 132.Finally, LCM of Fractions for 11/56, 66/77, 132/199 is 132.