Least Common Multiple of 55/56, 34/31, 63/93, 12/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/56, 34/31, 63/93, 12/132 quickly i.e. 235620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/56, 34/31, 63/93, 12/132 is 235620.

LCM(55/56, 34/31, 63/93, 12/132) = 235620

LCM of 55/56, 34/31, 63/93, 12/132

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 55/56,34/31,63/93,12/132

Given numbers are 55/56,34/31,63/93,12/132

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 55,34,63,12

Least Common Multiple of Numerators i.e. LCM of 55,34,63,12 is 235620.

GCF of Denominators means GCF of 56,31,93,132 as per the given fractions.

GCF of 56,31,93,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,34,63,12

LCM of Fractions 55/56,34/31,63/93,12/132 is 235620

2 55, 34, 63, 12
3 55, 17, 63, 6
55, 17, 21, 2

∴ So the LCM of the given numbers is 2 x 3 x 55 x 17 x 21 x 2 = 235620

Least Common Multiple of 55,34,63,12 with GCF Formula

Least Common Multiple of 55,34,63,12 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 55,34,63,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,34,63,12) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(55,34,63,12) x common factors =1 x 6 = 6

LCM(55,34,63,12) = ( 55 × 34 × 63 × 12 ) / 6

LCM(55,34,63,12) = 1413720 / 6

LCM(55,34,63,12) = 235620


Lets's calculate GCF of 56,31,93,132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235620/1

Therefore the LCM of Fractions 55/56,34/31,63/93,12/132 is 235620

Greatest Common Factor of 56,31,93,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,31,93,132 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 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 56,31,93,132 . The biggest common factor number is the GCF number.
So the greatest common factor 56,31,93,132 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 55/56, 34/31, 63/93, 12/132

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 55/56, 34/31, 63/93, 12/132?

Answer: LCM of Numerators as per given numbers 55/56, 34/31, 63/93, 12/132 is

LCM of Numerators i.e. for 55,34,63,12 is 235620

GCF of denominators i.e. for 56,31,93,132 is 1.

Thus, LCM of Fractions is 235620.Finally, LCM of Fractions for 55/56, 34/31, 63/93, 12/132 is 235620.