Least Common Multiple of 686/862, 2744/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/862, 2744/332 quickly i.e. 1372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/862, 2744/332 is 1372.

LCM(686/862, 2744/332) = 1372

LCM of 686/862, 2744/332

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 686/862,2744/332

Given numbers are 686/862,2744/332

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 686,2744

Least Common Multiple of Numerators i.e. LCM of 686,2744 is 2744.

GCF of Denominators means GCF of 862,332 as per the given fractions.

GCF of 862,332 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,2744

LCM of Fractions 686/862,2744/332 is 1372

2 686, 2744
7 343, 1372
7 49, 196
7 7, 28
1, 4

∴ So the LCM of the given numbers is 2 x 7 x 7 x 7 x 1 x 4 = 2744

Least Common Multiple of 686,2744 with GCF Formula

Least Common Multiple of 686,2744 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 686,2744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,2744) = 686

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

GCF(686,2744) x common factors =686 x 1 = 686

LCM(686,2744) = ( 686 × 2744 ) / 686

LCM(686,2744) = 1882384 / 686

LCM(686,2744) = 2744


Lets's calculate GCF of 862,332

2 862, 332
431, 166

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2744/2

Therefore the LCM of Fractions 686/862,2744/332 is 1372

Greatest Common Factor of 862,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,332 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 862,332 . The biggest common factor number is the GCF number.
So the greatest common factor 862,332 is 2.


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 686/862, 2744/332

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 686/862, 2744/332?

Answer: LCM of Numerators as per given numbers 686/862, 2744/332 is

LCM of Numerators i.e. for 686,2744 is 2744

GCF of denominators i.e. for 862,332 is 2.

Thus, LCM of Fractions is 1372.Finally, LCM of Fractions for 686/862, 2744/332 is 1372.