Least Common Multiple of 764/392, 1286/2593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 764/392, 1286/2593 quickly i.e. 491252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 764/392, 1286/2593 is 491252.

LCM(764/392, 1286/2593) = 491252

LCM of 764/392, 1286/2593

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 764/392,1286/2593

Given numbers are 764/392,1286/2593

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 764,1286

Least Common Multiple of Numerators i.e. LCM of 764,1286 is 491252.

GCF of Denominators means GCF of 392,2593 as per the given fractions.

GCF of 392,2593 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 764,1286

LCM of Fractions 764/392,1286/2593 is 491252

2 764, 1286
382, 643

∴ So the LCM of the given numbers is 2 x 382 x 643 = 491252

Least Common Multiple of 764,1286 with GCF Formula

Least Common Multiple of 764,1286 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 764,1286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,1286) = 2

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

GCF(764,1286) x common factors =2 x 1 = 2

LCM(764,1286) = ( 764 × 1286 ) / 2

LCM(764,1286) = 982504 / 2

LCM(764,1286) = 491252


Lets's calculate GCF of 392,2593

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 491252/1

Therefore the LCM of Fractions 764/392,1286/2593 is 491252

Greatest Common Factor of 392,2593 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,2593 By Matching Biggest Common Factor Method

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 2593

List of positive integer factors of 2593 that divides 2593 without a remainder.

1,2593

Greatest Common Factor

We found the factors 392,2593 . The biggest common factor number is the GCF number.
So the greatest common factor 392,2593 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 764/392, 1286/2593

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 764/392, 1286/2593?

Answer: LCM of Numerators as per given numbers 764/392, 1286/2593 is

LCM of Numerators i.e. for 764,1286 is 491252

GCF of denominators i.e. for 392,2593 is 1.

Thus, LCM of Fractions is 491252.Finally, LCM of Fractions for 764/392, 1286/2593 is 491252.