Least Common Multiple of 604/767, 2592/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 604/767, 2592/788 quickly i.e. 391392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 604/767, 2592/788 is 391392.

LCM(604/767, 2592/788) = 391392

LCM of 604/767, 2592/788

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 604/767,2592/788

Given numbers are 604/767,2592/788

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 604,2592

Least Common Multiple of Numerators i.e. LCM of 604,2592 is 391392.

GCF of Denominators means GCF of 767,788 as per the given fractions.

GCF of 767,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 604,2592

LCM of Fractions 604/767,2592/788 is 391392

2 604, 2592
2 302, 1296
151, 648

∴ So the LCM of the given numbers is 2 x 2 x 151 x 648 = 391392

Least Common Multiple of 604,2592 with GCF Formula

Least Common Multiple of 604,2592 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 604,2592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,2592) = 4

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

GCF(604,2592) x common factors =4 x 1 = 4

LCM(604,2592) = ( 604 × 2592 ) / 4

LCM(604,2592) = 1565568 / 4

LCM(604,2592) = 391392


Lets's calculate GCF of 767,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 391392/1

Therefore the LCM of Fractions 604/767,2592/788 is 391392

Greatest Common Factor of 767,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,788 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 767,788 . The biggest common factor number is the GCF number.
So the greatest common factor 767,788 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 604/767, 2592/788

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 604/767, 2592/788?

Answer: LCM of Numerators as per given numbers 604/767, 2592/788 is

LCM of Numerators i.e. for 604,2592 is 391392

GCF of denominators i.e. for 767,788 is 1.

Thus, LCM of Fractions is 391392.Finally, LCM of Fractions for 604/767, 2592/788 is 391392.