Least Common Multiple of 469/73, 149/7852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/73, 149/7852 quickly i.e. 69881 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/73, 149/7852 is 69881.

LCM(469/73, 149/7852) = 69881

LCM of 469/73, 149/7852

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 469/73,149/7852

Given numbers are 469/73,149/7852

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 469,149

Least Common Multiple of Numerators i.e. LCM of 469,149 is 69881.

GCF of Denominators means GCF of 73,7852 as per the given fractions.

GCF of 73,7852 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,149

LCM of Fractions 469/73,149/7852 is 69881

Given numbers has no common factors except 1. So, there LCM is their product i.e 69881

Least Common Multiple of 469,149 with GCF Formula

Least Common Multiple of 469,149 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 469,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,149) = 1

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

GCF(469,149) x common factors =1 x 1 = 1

LCM(469,149) = ( 469 × 149 ) / 1

LCM(469,149) = 69881 / 1

LCM(469,149) = 69881


Lets's calculate GCF of 73,7852

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69881/1

Therefore the LCM of Fractions 469/73,149/7852 is 69881

Greatest Common Factor of 73,7852 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,7852 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 7852

List of positive integer factors of 7852 that divides 7852 without a remainder.

1,2,4,13,26,52,151,302,604,1963,3926,7852

Greatest Common Factor

We found the factors 73,7852 . The biggest common factor number is the GCF number.
So the greatest common factor 73,7852 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 469/73, 149/7852

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 469/73, 149/7852?

Answer: LCM of Numerators as per given numbers 469/73, 149/7852 is

LCM of Numerators i.e. for 469,149 is 69881

GCF of denominators i.e. for 73,7852 is 1.

Thus, LCM of Fractions is 69881.Finally, LCM of Fractions for 469/73, 149/7852 is 69881.