Least Common Multiple of 493/76, 470/7368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/76, 470/7368 quickly i.e. 231710/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/76, 470/7368 is 231710/4.

LCM(493/76, 470/7368) = 231710/4

LCM of 493/76, 470/7368

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 493/76,470/7368

Given numbers are 493/76,470/7368

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 493,470

Least Common Multiple of Numerators i.e. LCM of 493,470 is 231710.

GCF of Denominators means GCF of 76,7368 as per the given fractions.

GCF of 76,7368 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,470

LCM of Fractions 493/76,470/7368 is 231710/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 231710

Least Common Multiple of 493,470 with GCF Formula

Least Common Multiple of 493,470 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 493,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,470) = 1

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

GCF(493,470) x common factors =1 x 1 = 1

LCM(493,470) = ( 493 × 470 ) / 1

LCM(493,470) = 231710 / 1

LCM(493,470) = 231710


Lets's calculate GCF of 76,7368

2 76, 7368
2 38, 3684
19, 1842

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231710/4

Therefore the LCM of Fractions 493/76,470/7368 is 231710/4

Greatest Common Factor of 76,7368 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,7368 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 7368

List of positive integer factors of 7368 that divides 7368 without a remainder.

1,2,3,4,6,8,12,24,307,614,921,1228,1842,2456,3684,7368

Greatest Common Factor

We found the factors 76,7368 . The biggest common factor number is the GCF number.
So the greatest common factor 76,7368 is 4.


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 493/76, 470/7368

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 493/76, 470/7368?

Answer: LCM of Numerators as per given numbers 493/76, 470/7368 is

LCM of Numerators i.e. for 493,470 is 231710

GCF of denominators i.e. for 76,7368 is 4.

Thus, LCM of Fractions is 231710/4.Finally, LCM of Fractions for 493/76, 470/7368 is 231710/4.