Least Common Multiple of 6923/574, 8452/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6923/574, 8452/144 quickly i.e. 29256598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6923/574, 8452/144 is 29256598.

LCM(6923/574, 8452/144) = 29256598

LCM of 6923/574, 8452/144

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 6923/574,8452/144

Given numbers are 6923/574,8452/144

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 6923,8452

Least Common Multiple of Numerators i.e. LCM of 6923,8452 is 58513196.

GCF of Denominators means GCF of 574,144 as per the given fractions.

GCF of 574,144 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6923,8452

LCM of Fractions 6923/574,8452/144 is 29256598

Given numbers has no common factors except 1. So, there LCM is their product i.e 58513196

Least Common Multiple of 6923,8452 with GCF Formula

Least Common Multiple of 6923,8452 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 6923,8452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6923,8452) = 1

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

GCF(6923,8452) x common factors =1 x 1 = 1

LCM(6923,8452) = ( 6923 × 8452 ) / 1

LCM(6923,8452) = 58513196 / 1

LCM(6923,8452) = 58513196


Lets's calculate GCF of 574,144

2 574, 144
287, 72

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58513196/2

Therefore the LCM of Fractions 6923/574,8452/144 is 29256598

Greatest Common Factor of 574,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,144 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 574,144 . The biggest common factor number is the GCF number.
So the greatest common factor 574,144 is 2.


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 6923/574, 8452/144

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 6923/574, 8452/144?

Answer: LCM of Numerators as per given numbers 6923/574, 8452/144 is

LCM of Numerators i.e. for 6923,8452 is 58513196

GCF of denominators i.e. for 574,144 is 2.

Thus, LCM of Fractions is 29256598.Finally, LCM of Fractions for 6923/574, 8452/144 is 29256598.