Least Common Multiple of 389/532, 102/313, 592/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 389/532, 102/313, 592/265 quickly i.e. 11744688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/532, 102/313, 592/265 is 11744688.

LCM(389/532, 102/313, 592/265) = 11744688

LCM of 389/532, 102/313, 592/265

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 389/532,102/313,592/265

Given numbers are 389/532,102/313,592/265

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 389,102,592

Least Common Multiple of Numerators i.e. LCM of 389,102,592 is 11744688.

GCF of Denominators means GCF of 532,313,265 as per the given fractions.

GCF of 532,313,265 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,102,592

LCM of Fractions 389/532,102/313,592/265 is 11744688

2 389, 102, 592
389, 51, 296

∴ So the LCM of the given numbers is 2 x 389 x 51 x 296 = 11744688

Least Common Multiple of 389,102,592 with GCF Formula

Least Common Multiple of 389,102,592 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 389,102,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,102,592) = 1

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

GCF(389,102,592) x common factors =1 x 2 = 2

LCM(389,102,592) = ( 389 × 102 × 592 ) / 2

LCM(389,102,592) = 23489376 / 2

LCM(389,102,592) = 11744688


Lets's calculate GCF of 532,313,265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11744688/1

Therefore the LCM of Fractions 389/532,102/313,592/265 is 11744688

Greatest Common Factor of 532,313,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,313,265 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 532,313,265 . The biggest common factor number is the GCF number.
So the greatest common factor 532,313,265 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 389/532, 102/313, 592/265

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 389/532, 102/313, 592/265?

Answer: LCM of Numerators as per given numbers 389/532, 102/313, 592/265 is

LCM of Numerators i.e. for 389,102,592 is 11744688

GCF of denominators i.e. for 532,313,265 is 1.

Thus, LCM of Fractions is 11744688.Finally, LCM of Fractions for 389/532, 102/313, 592/265 is 11744688.