Least Common Multiple of 469/57, 102/9295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 469/57, 102/9295 quickly i.e. 47838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/57, 102/9295 is 47838.

LCM(469/57, 102/9295) = 47838

LCM of 469/57, 102/9295

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 469/57,102/9295

Given numbers are 469/57,102/9295

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 469,102

Least Common Multiple of Numerators i.e. LCM of 469,102 is 47838.

GCF of Denominators means GCF of 57,9295 as per the given fractions.

GCF of 57,9295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,102

LCM of Fractions 469/57,102/9295 is 47838

Given numbers has no common factors except 1. So, there LCM is their product i.e 47838

Least Common Multiple of 469,102 with GCF Formula

Least Common Multiple of 469,102 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 469,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,102) = 1

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

GCF(469,102) x common factors =1 x 1 = 1

LCM(469,102) = ( 469 × 102 ) / 1

LCM(469,102) = 47838 / 1

LCM(469,102) = 47838


Lets's calculate GCF of 57,9295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47838/1

Therefore the LCM of Fractions 469/57,102/9295 is 47838

Greatest Common Factor of 57,9295 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,9295 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 9295

List of positive integer factors of 9295 that divides 9295 without a remainder.

1,5,11,13,55,65,143,169,715,845,1859,9295

Greatest Common Factor

We found the factors 57,9295 . The biggest common factor number is the GCF number.
So the greatest common factor 57,9295 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 469/57, 102/9295

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 469/57, 102/9295?

Answer: LCM of Numerators as per given numbers 469/57, 102/9295 is

LCM of Numerators i.e. for 469,102 is 47838

GCF of denominators i.e. for 57,9295 is 1.

Thus, LCM of Fractions is 47838.Finally, LCM of Fractions for 469/57, 102/9295 is 47838.