Least Common Multiple of 689/688, 6874/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/688, 6874/419 quickly i.e. 4736186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/688, 6874/419 is 4736186.

LCM(689/688, 6874/419) = 4736186

LCM of 689/688, 6874/419

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 689/688,6874/419

Given numbers are 689/688,6874/419

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 689,6874

Least Common Multiple of Numerators i.e. LCM of 689,6874 is 4736186.

GCF of Denominators means GCF of 688,419 as per the given fractions.

GCF of 688,419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,6874

LCM of Fractions 689/688,6874/419 is 4736186

Given numbers has no common factors except 1. So, there LCM is their product i.e 4736186

Least Common Multiple of 689,6874 with GCF Formula

Least Common Multiple of 689,6874 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 689,6874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,6874) = 1

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

GCF(689,6874) x common factors =1 x 1 = 1

LCM(689,6874) = ( 689 × 6874 ) / 1

LCM(689,6874) = 4736186 / 1

LCM(689,6874) = 4736186


Lets's calculate GCF of 688,419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4736186/1

Therefore the LCM of Fractions 689/688,6874/419 is 4736186

Greatest Common Factor of 688,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,419 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 688,419 . The biggest common factor number is the GCF number.
So the greatest common factor 688,419 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 689/688, 6874/419

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 689/688, 6874/419?

Answer: LCM of Numerators as per given numbers 689/688, 6874/419 is

LCM of Numerators i.e. for 689,6874 is 4736186

GCF of denominators i.e. for 688,419 is 1.

Thus, LCM of Fractions is 4736186.Finally, LCM of Fractions for 689/688, 6874/419 is 4736186.