Least Common Multiple of 84/55, 65/80, 864/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/55, 65/80, 864/726 quickly i.e. 393120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/55, 65/80, 864/726 is 393120.

LCM(84/55, 65/80, 864/726) = 393120

LCM of 84/55, 65/80, 864/726

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 84/55,65/80,864/726

Given numbers are 84/55,65/80,864/726

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 84,65,864

Least Common Multiple of Numerators i.e. LCM of 84,65,864 is 393120.

GCF of Denominators means GCF of 55,80,726 as per the given fractions.

GCF of 55,80,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,65,864

LCM of Fractions 84/55,65/80,864/726 is 393120

2 84, 65, 864
2 42, 65, 432
3 21, 65, 216
7, 65, 72

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 65 x 72 = 393120

Least Common Multiple of 84,65,864 with GCF Formula

Least Common Multiple of 84,65,864 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 84,65,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,65,864) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,65,864) x common factors =1 x 12 = 12

LCM(84,65,864) = ( 84 × 65 × 864 ) / 12

LCM(84,65,864) = 4717440 / 12

LCM(84,65,864) = 393120


Lets's calculate GCF of 55,80,726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393120/1

Therefore the LCM of Fractions 84/55,65/80,864/726 is 393120

Greatest Common Factor of 55,80,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,80,726 By Matching Biggest Common Factor Method

Factors of 55

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

1,5,11,55

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 55,80,726 . The biggest common factor number is the GCF number.
So the greatest common factor 55,80,726 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 84/55, 65/80, 864/726

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 84/55, 65/80, 864/726?

Answer: LCM of Numerators as per given numbers 84/55, 65/80, 864/726 is

LCM of Numerators i.e. for 84,65,864 is 393120

GCF of denominators i.e. for 55,80,726 is 1.

Thus, LCM of Fractions is 393120.Finally, LCM of Fractions for 84/55, 65/80, 864/726 is 393120.