Least Common Multiple of 696/76, 493/56, 556/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 696/76, 493/56, 556/349 quickly i.e. 1644648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/76, 493/56, 556/349 is 1644648.

LCM(696/76, 493/56, 556/349) = 1644648

LCM of 696/76, 493/56, 556/349

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 696/76,493/56,556/349

Given numbers are 696/76,493/56,556/349

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 696,493,556

Least Common Multiple of Numerators i.e. LCM of 696,493,556 is 1644648.

GCF of Denominators means GCF of 76,56,349 as per the given fractions.

GCF of 76,56,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,493,556

LCM of Fractions 696/76,493/56,556/349 is 1644648

2 696, 493, 556
2 348, 493, 278
29 174, 493, 139
6, 17, 139

∴ So the LCM of the given numbers is 2 x 2 x 29 x 6 x 17 x 139 = 1644648

Least Common Multiple of 696,493,556 with GCF Formula

Least Common Multiple of 696,493,556 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 696,493,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,493,556) = 1

common factors(in case of two or more numbers have common factors) = 116

GCF(696,493,556) x common factors =1 x 116 = 116

LCM(696,493,556) = ( 696 × 493 × 556 ) / 116

LCM(696,493,556) = 190779168 / 116

LCM(696,493,556) = 1644648


Lets's calculate GCF of 76,56,349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1644648/1

Therefore the LCM of Fractions 696/76,493/56,556/349 is 1644648

Greatest Common Factor of 76,56,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,56,349 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 76,56,349 . The biggest common factor number is the GCF number.
So the greatest common factor 76,56,349 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 696/76, 493/56, 556/349

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 696/76, 493/56, 556/349?

Answer: LCM of Numerators as per given numbers 696/76, 493/56, 556/349 is

LCM of Numerators i.e. for 696,493,556 is 1644648

GCF of denominators i.e. for 76,56,349 is 1.

Thus, LCM of Fractions is 1644648.Finally, LCM of Fractions for 696/76, 493/56, 556/349 is 1644648.