Least Common Multiple of 686/354, 586/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/354, 586/968 quickly i.e. 100499 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/354, 586/968 is 100499.

LCM(686/354, 586/968) = 100499

LCM of 686/354, 586/968

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 686/354,586/968

Given numbers are 686/354,586/968

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 686,586

Least Common Multiple of Numerators i.e. LCM of 686,586 is 200998.

GCF of Denominators means GCF of 354,968 as per the given fractions.

GCF of 354,968 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,586

LCM of Fractions 686/354,586/968 is 100499

2 686, 586
343, 293

∴ So the LCM of the given numbers is 2 x 343 x 293 = 200998

Least Common Multiple of 686,586 with GCF Formula

Least Common Multiple of 686,586 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 686,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,586) = 2

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

GCF(686,586) x common factors =2 x 1 = 2

LCM(686,586) = ( 686 × 586 ) / 2

LCM(686,586) = 401996 / 2

LCM(686,586) = 200998


Lets's calculate GCF of 354,968

2 354, 968
177, 484

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200998/2

Therefore the LCM of Fractions 686/354,586/968 is 100499

Greatest Common Factor of 354,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,968 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 354,968 . The biggest common factor number is the GCF number.
So the greatest common factor 354,968 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 686/354, 586/968

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 686/354, 586/968?

Answer: LCM of Numerators as per given numbers 686/354, 586/968 is

LCM of Numerators i.e. for 686,586 is 200998

GCF of denominators i.e. for 354,968 is 2.

Thus, LCM of Fractions is 100499.Finally, LCM of Fractions for 686/354, 586/968 is 100499.