Least Common Multiple of 662/57, 452/71, 385/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 662/57, 452/71, 385/344 quickly i.e. 57600620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 662/57, 452/71, 385/344 is 57600620.

LCM(662/57, 452/71, 385/344) = 57600620

LCM of 662/57, 452/71, 385/344

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 662/57,452/71,385/344

Given numbers are 662/57,452/71,385/344

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 662,452,385

Least Common Multiple of Numerators i.e. LCM of 662,452,385 is 57600620.

GCF of Denominators means GCF of 57,71,344 as per the given fractions.

GCF of 57,71,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 662,452,385

LCM of Fractions 662/57,452/71,385/344 is 57600620

2 662, 452, 385
331, 226, 385

∴ So the LCM of the given numbers is 2 x 331 x 226 x 385 = 57600620

Least Common Multiple of 662,452,385 with GCF Formula

Least Common Multiple of 662,452,385 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 662,452,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,452,385) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(662,452,385) x common factors =1 x 2 = 2

LCM(662,452,385) = ( 662 × 452 × 385 ) / 2

LCM(662,452,385) = 115201240 / 2

LCM(662,452,385) = 57600620


Lets's calculate GCF of 57,71,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57600620/1

Therefore the LCM of Fractions 662/57,452/71,385/344 is 57600620

Greatest Common Factor of 57,71,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,71,344 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 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 57,71,344 . The biggest common factor number is the GCF number.
So the greatest common factor 57,71,344 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 662/57, 452/71, 385/344

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 662/57, 452/71, 385/344?

Answer: LCM of Numerators as per given numbers 662/57, 452/71, 385/344 is

LCM of Numerators i.e. for 662,452,385 is 57600620

GCF of denominators i.e. for 57,71,344 is 1.

Thus, LCM of Fractions is 57600620.Finally, LCM of Fractions for 662/57, 452/71, 385/344 is 57600620.