Least Common Multiple of 352/686, 6274/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/686, 6274/656 quickly i.e. 552112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/686, 6274/656 is 552112.

LCM(352/686, 6274/656) = 552112

LCM of 352/686, 6274/656

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 352/686,6274/656

Given numbers are 352/686,6274/656

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 352,6274

Least Common Multiple of Numerators i.e. LCM of 352,6274 is 1104224.

GCF of Denominators means GCF of 686,656 as per the given fractions.

GCF of 686,656 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,6274

LCM of Fractions 352/686,6274/656 is 552112

2 352, 6274
176, 3137

∴ So the LCM of the given numbers is 2 x 176 x 3137 = 1104224

Least Common Multiple of 352,6274 with GCF Formula

Least Common Multiple of 352,6274 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 352,6274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,6274) = 2

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

GCF(352,6274) x common factors =2 x 1 = 2

LCM(352,6274) = ( 352 × 6274 ) / 2

LCM(352,6274) = 2208448 / 2

LCM(352,6274) = 1104224


Lets's calculate GCF of 686,656

2 686, 656
343, 328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1104224/2

Therefore the LCM of Fractions 352/686,6274/656 is 552112

Greatest Common Factor of 686,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,656 By Matching Biggest Common Factor Method

Factors of 686

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

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

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 686,656 . The biggest common factor number is the GCF number.
So the greatest common factor 686,656 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 352/686, 6274/656

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 352/686, 6274/656?

Answer: LCM of Numerators as per given numbers 352/686, 6274/656 is

LCM of Numerators i.e. for 352,6274 is 1104224

GCF of denominators i.e. for 686,656 is 2.

Thus, LCM of Fractions is 552112.Finally, LCM of Fractions for 352/686, 6274/656 is 552112.