Least Common Multiple of 692/218, 310/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 692/218, 310/882 quickly i.e. 53630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 692/218, 310/882 is 53630.

LCM(692/218, 310/882) = 53630

LCM of 692/218, 310/882

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 692/218,310/882

Given numbers are 692/218,310/882

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 692,310

Least Common Multiple of Numerators i.e. LCM of 692,310 is 107260.

GCF of Denominators means GCF of 218,882 as per the given fractions.

GCF of 218,882 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 692,310

LCM of Fractions 692/218,310/882 is 53630

2 692, 310
346, 155

∴ So the LCM of the given numbers is 2 x 346 x 155 = 107260

Least Common Multiple of 692,310 with GCF Formula

Least Common Multiple of 692,310 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 692,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,310) = 2

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

GCF(692,310) x common factors =2 x 1 = 2

LCM(692,310) = ( 692 × 310 ) / 2

LCM(692,310) = 214520 / 2

LCM(692,310) = 107260


Lets's calculate GCF of 218,882

2 218, 882
109, 441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107260/2

Therefore the LCM of Fractions 692/218,310/882 is 53630

Greatest Common Factor of 218,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,882 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 218,882 . The biggest common factor number is the GCF number.
So the greatest common factor 218,882 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 692/218, 310/882

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 692/218, 310/882?

Answer: LCM of Numerators as per given numbers 692/218, 310/882 is

LCM of Numerators i.e. for 692,310 is 107260

GCF of denominators i.e. for 218,882 is 2.

Thus, LCM of Fractions is 53630.Finally, LCM of Fractions for 692/218, 310/882 is 53630.