Least Common Multiple of 688/42, 649/6221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/42, 649/6221 quickly i.e. 446512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/42, 649/6221 is 446512.

LCM(688/42, 649/6221) = 446512

LCM of 688/42, 649/6221

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 688/42,649/6221

Given numbers are 688/42,649/6221

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 688,649

Least Common Multiple of Numerators i.e. LCM of 688,649 is 446512.

GCF of Denominators means GCF of 42,6221 as per the given fractions.

GCF of 42,6221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,649

LCM of Fractions 688/42,649/6221 is 446512

Given numbers has no common factors except 1. So, there LCM is their product i.e 446512

Least Common Multiple of 688,649 with GCF Formula

Least Common Multiple of 688,649 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 688,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,649) = 1

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

GCF(688,649) x common factors =1 x 1 = 1

LCM(688,649) = ( 688 × 649 ) / 1

LCM(688,649) = 446512 / 1

LCM(688,649) = 446512


Lets's calculate GCF of 42,6221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 446512/1

Therefore the LCM of Fractions 688/42,649/6221 is 446512

Greatest Common Factor of 42,6221 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,6221 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 6221

List of positive integer factors of 6221 that divides 6221 without a remainder.

1,6221

Greatest Common Factor

We found the factors 42,6221 . The biggest common factor number is the GCF number.
So the greatest common factor 42,6221 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 688/42, 649/6221

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 688/42, 649/6221?

Answer: LCM of Numerators as per given numbers 688/42, 649/6221 is

LCM of Numerators i.e. for 688,649 is 446512

GCF of denominators i.e. for 42,6221 is 1.

Thus, LCM of Fractions is 446512.Finally, LCM of Fractions for 688/42, 649/6221 is 446512.