Least Common Multiple of 80/234, 751/145, 223/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/234, 751/145, 223/293 quickly i.e. 13397840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/234, 751/145, 223/293 is 13397840.

LCM(80/234, 751/145, 223/293) = 13397840

LCM of 80/234, 751/145, 223/293

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 80/234,751/145,223/293

Given numbers are 80/234,751/145,223/293

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 80,751,223

Least Common Multiple of Numerators i.e. LCM of 80,751,223 is 13397840.

GCF of Denominators means GCF of 234,145,293 as per the given fractions.

GCF of 234,145,293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,751,223

LCM of Fractions 80/234,751/145,223/293 is 13397840

Given numbers has no common factors except 1. So, there LCM is their product i.e 13397840

Least Common Multiple of 80,751,223 with GCF Formula

Least Common Multiple of 80,751,223 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 80,751,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,751,223) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(80,751,223) x common factors =1 x 1 = 1

LCM(80,751,223) = ( 80 × 751 × 223 ) / 1

LCM(80,751,223) = 13397840 / 1

LCM(80,751,223) = 13397840


Lets's calculate GCF of 234,145,293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13397840/1

Therefore the LCM of Fractions 80/234,751/145,223/293 is 13397840

Greatest Common Factor of 234,145,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,145,293 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 234,145,293 . The biggest common factor number is the GCF number.
So the greatest common factor 234,145,293 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 80/234, 751/145, 223/293

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 80/234, 751/145, 223/293?

Answer: LCM of Numerators as per given numbers 80/234, 751/145, 223/293 is

LCM of Numerators i.e. for 80,751,223 is 13397840

GCF of denominators i.e. for 234,145,293 is 1.

Thus, LCM of Fractions is 13397840.Finally, LCM of Fractions for 80/234, 751/145, 223/293 is 13397840.