Least Common Multiple of 492/51, 600/5263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/51, 600/5263 quickly i.e. 24600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/51, 600/5263 is 24600.

LCM(492/51, 600/5263) = 24600

LCM of 492/51, 600/5263

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 492/51,600/5263

Given numbers are 492/51,600/5263

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 492,600

Least Common Multiple of Numerators i.e. LCM of 492,600 is 24600.

GCF of Denominators means GCF of 51,5263 as per the given fractions.

GCF of 51,5263 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,600

LCM of Fractions 492/51,600/5263 is 24600

2 492, 600
2 246, 300
3 123, 150
41, 50

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 50 = 24600

Least Common Multiple of 492,600 with GCF Formula

Least Common Multiple of 492,600 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 492,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,600) = 12

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

GCF(492,600) x common factors =12 x 1 = 12

LCM(492,600) = ( 492 × 600 ) / 12

LCM(492,600) = 295200 / 12

LCM(492,600) = 24600


Lets's calculate GCF of 51,5263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24600/1

Therefore the LCM of Fractions 492/51,600/5263 is 24600

Greatest Common Factor of 51,5263 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,5263 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 5263

List of positive integer factors of 5263 that divides 5263 without a remainder.

1,19,277,5263

Greatest Common Factor

We found the factors 51,5263 . The biggest common factor number is the GCF number.
So the greatest common factor 51,5263 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 492/51, 600/5263

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 492/51, 600/5263?

Answer: LCM of Numerators as per given numbers 492/51, 600/5263 is

LCM of Numerators i.e. for 492,600 is 24600

GCF of denominators i.e. for 51,5263 is 1.

Thus, LCM of Fractions is 24600.Finally, LCM of Fractions for 492/51, 600/5263 is 24600.