Least Common Multiple of 765/277, 3692/8382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/277, 3692/8382 quickly i.e. 2824380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/277, 3692/8382 is 2824380.

LCM(765/277, 3692/8382) = 2824380

LCM of 765/277, 3692/8382

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 765/277,3692/8382

Given numbers are 765/277,3692/8382

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 765,3692

Least Common Multiple of Numerators i.e. LCM of 765,3692 is 2824380.

GCF of Denominators means GCF of 277,8382 as per the given fractions.

GCF of 277,8382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,3692

LCM of Fractions 765/277,3692/8382 is 2824380

Given numbers has no common factors except 1. So, there LCM is their product i.e 2824380

Least Common Multiple of 765,3692 with GCF Formula

Least Common Multiple of 765,3692 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 765,3692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,3692) = 1

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

GCF(765,3692) x common factors =1 x 1 = 1

LCM(765,3692) = ( 765 × 3692 ) / 1

LCM(765,3692) = 2824380 / 1

LCM(765,3692) = 2824380


Lets's calculate GCF of 277,8382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2824380/1

Therefore the LCM of Fractions 765/277,3692/8382 is 2824380

Greatest Common Factor of 277,8382 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,8382 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 8382

List of positive integer factors of 8382 that divides 8382 without a remainder.

1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382

Greatest Common Factor

We found the factors 277,8382 . The biggest common factor number is the GCF number.
So the greatest common factor 277,8382 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 765/277, 3692/8382

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 765/277, 3692/8382?

Answer: LCM of Numerators as per given numbers 765/277, 3692/8382 is

LCM of Numerators i.e. for 765,3692 is 2824380

GCF of denominators i.e. for 277,8382 is 1.

Thus, LCM of Fractions is 2824380.Finally, LCM of Fractions for 765/277, 3692/8382 is 2824380.