Least Common Multiple of 202/677, 8396/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 202/677, 8396/382 quickly i.e. 847996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 202/677, 8396/382 is 847996.

LCM(202/677, 8396/382) = 847996

LCM of 202/677, 8396/382

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 202/677,8396/382

Given numbers are 202/677,8396/382

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 202,8396

Least Common Multiple of Numerators i.e. LCM of 202,8396 is 847996.

GCF of Denominators means GCF of 677,382 as per the given fractions.

GCF of 677,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 202,8396

LCM of Fractions 202/677,8396/382 is 847996

2 202, 8396
101, 4198

∴ So the LCM of the given numbers is 2 x 101 x 4198 = 847996

Least Common Multiple of 202,8396 with GCF Formula

Least Common Multiple of 202,8396 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 202,8396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,8396) = 2

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

GCF(202,8396) x common factors =2 x 1 = 2

LCM(202,8396) = ( 202 × 8396 ) / 2

LCM(202,8396) = 1695992 / 2

LCM(202,8396) = 847996


Lets's calculate GCF of 677,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 847996/1

Therefore the LCM of Fractions 202/677,8396/382 is 847996

Greatest Common Factor of 677,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,382 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 677,382 . The biggest common factor number is the GCF number.
So the greatest common factor 677,382 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 202/677, 8396/382

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 202/677, 8396/382?

Answer: LCM of Numerators as per given numbers 202/677, 8396/382 is

LCM of Numerators i.e. for 202,8396 is 847996

GCF of denominators i.e. for 677,382 is 1.

Thus, LCM of Fractions is 847996.Finally, LCM of Fractions for 202/677, 8396/382 is 847996.