Least Common Multiple of 497/478, 330/392, 392/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 497/478, 330/392, 392/852 quickly i.e. 2296140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 497/478, 330/392, 392/852 is 2296140.

LCM(497/478, 330/392, 392/852) = 2296140

LCM of 497/478, 330/392, 392/852

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 497/478,330/392,392/852

Given numbers are 497/478,330/392,392/852

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 497,330,392

Least Common Multiple of Numerators i.e. LCM of 497,330,392 is 4592280.

GCF of Denominators means GCF of 478,392,852 as per the given fractions.

GCF of 478,392,852 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 497,330,392

LCM of Fractions 497/478,330/392,392/852 is 2296140

2 497, 330, 392
7 497, 165, 196
71, 165, 28

∴ So the LCM of the given numbers is 2 x 7 x 71 x 165 x 28 = 4592280

Least Common Multiple of 497,330,392 with GCF Formula

Least Common Multiple of 497,330,392 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 497,330,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,330,392) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(497,330,392) x common factors =1 x 14 = 14

LCM(497,330,392) = ( 497 × 330 × 392 ) / 14

LCM(497,330,392) = 64291920 / 14

LCM(497,330,392) = 4592280


Lets's calculate GCF of 478,392,852

2 478, 392, 852
239, 196, 426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4592280/2

Therefore the LCM of Fractions 497/478,330/392,392/852 is 2296140

Greatest Common Factor of 478,392,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,392,852 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 478,392,852 . The biggest common factor number is the GCF number.
So the greatest common factor 478,392,852 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 497/478, 330/392, 392/852

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 497/478, 330/392, 392/852?

Answer: LCM of Numerators as per given numbers 497/478, 330/392, 392/852 is

LCM of Numerators i.e. for 497,330,392 is 4592280

GCF of denominators i.e. for 478,392,852 is 2.

Thus, LCM of Fractions is 2296140.Finally, LCM of Fractions for 497/478, 330/392, 392/852 is 2296140.