Least Common Multiple of 55/60, 44/27, 78/96, 70/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/60, 44/27, 78/96, 70/104 quickly i.e. 60060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/60, 44/27, 78/96, 70/104 is 60060.

LCM(55/60, 44/27, 78/96, 70/104) = 60060

LCM of 55/60, 44/27, 78/96, 70/104

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 55/60,44/27,78/96,70/104

Given numbers are 55/60,44/27,78/96,70/104

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 55,44,78,70

Least Common Multiple of Numerators i.e. LCM of 55,44,78,70 is 60060.

GCF of Denominators means GCF of 60,27,96,104 as per the given fractions.

GCF of 60,27,96,104 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,44,78,70

LCM of Fractions 55/60,44/27,78/96,70/104 is 60060

2 55, 44, 78, 70
5 55, 22, 39, 35
11 11, 22, 39, 7
1, 2, 39, 7

∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 2 x 39 x 7 = 60060

Least Common Multiple of 55,44,78,70 with GCF Formula

Least Common Multiple of 55,44,78,70 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 55,44,78,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,44,78,70) = 1

common factors(in case of two or more numbers have common factors) = 220

GCF(55,44,78,70) x common factors =1 x 220 = 220

LCM(55,44,78,70) = ( 55 × 44 × 78 × 70 ) / 220

LCM(55,44,78,70) = 13213200 / 220

LCM(55,44,78,70) = 60060


Lets's calculate GCF of 60,27,96,104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60060/1

Therefore the LCM of Fractions 55/60,44/27,78/96,70/104 is 60060

Greatest Common Factor of 60,27,96,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,27,96,104 By Matching Biggest Common Factor Method

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 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 60,27,96,104 . The biggest common factor number is the GCF number.
So the greatest common factor 60,27,96,104 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 55/60, 44/27, 78/96, 70/104

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 55/60, 44/27, 78/96, 70/104?

Answer: LCM of Numerators as per given numbers 55/60, 44/27, 78/96, 70/104 is

LCM of Numerators i.e. for 55,44,78,70 is 60060

GCF of denominators i.e. for 60,27,96,104 is 1.

Thus, LCM of Fractions is 60060.Finally, LCM of Fractions for 55/60, 44/27, 78/96, 70/104 is 60060.