Least Common Multiple of 711/302, 294/881, 998/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/302, 294/881, 998/686 quickly i.e. 34769322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/302, 294/881, 998/686 is 34769322.

LCM(711/302, 294/881, 998/686) = 34769322

LCM of 711/302, 294/881, 998/686

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 711/302,294/881,998/686

Given numbers are 711/302,294/881,998/686

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 711,294,998

Least Common Multiple of Numerators i.e. LCM of 711,294,998 is 34769322.

GCF of Denominators means GCF of 302,881,686 as per the given fractions.

GCF of 302,881,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,294,998

LCM of Fractions 711/302,294/881,998/686 is 34769322

2 711, 294, 998
3 711, 147, 499
237, 49, 499

∴ So the LCM of the given numbers is 2 x 3 x 237 x 49 x 499 = 34769322

Least Common Multiple of 711,294,998 with GCF Formula

Least Common Multiple of 711,294,998 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 711,294,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,294,998) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(711,294,998) x common factors =1 x 6 = 6

LCM(711,294,998) = ( 711 × 294 × 998 ) / 6

LCM(711,294,998) = 208615932 / 6

LCM(711,294,998) = 34769322


Lets's calculate GCF of 302,881,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34769322/1

Therefore the LCM of Fractions 711/302,294/881,998/686 is 34769322

Greatest Common Factor of 302,881,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,881,686 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 302,881,686 . The biggest common factor number is the GCF number.
So the greatest common factor 302,881,686 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 711/302, 294/881, 998/686

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 711/302, 294/881, 998/686?

Answer: LCM of Numerators as per given numbers 711/302, 294/881, 998/686 is

LCM of Numerators i.e. for 711,294,998 is 34769322

GCF of denominators i.e. for 302,881,686 is 1.

Thus, LCM of Fractions is 34769322.Finally, LCM of Fractions for 711/302, 294/881, 998/686 is 34769322.