Least Common Multiple of 210/688, 7017/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/688, 7017/848 quickly i.e. 491190/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/688, 7017/848 is 491190/16.

LCM(210/688, 7017/848) = 491190/16

LCM of 210/688, 7017/848

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 210/688,7017/848

Given numbers are 210/688,7017/848

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 210,7017

Least Common Multiple of Numerators i.e. LCM of 210,7017 is 491190.

GCF of Denominators means GCF of 688,848 as per the given fractions.

GCF of 688,848 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,7017

LCM of Fractions 210/688,7017/848 is 491190/16

3 210, 7017
70, 2339

∴ So the LCM of the given numbers is 3 x 70 x 2339 = 491190

Least Common Multiple of 210,7017 with GCF Formula

Least Common Multiple of 210,7017 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 210,7017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,7017) = 3

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

GCF(210,7017) x common factors =3 x 1 = 3

LCM(210,7017) = ( 210 × 7017 ) / 3

LCM(210,7017) = 1473570 / 3

LCM(210,7017) = 491190


Lets's calculate GCF of 688,848

2 688, 848
2 344, 424
2 172, 212
2 86, 106
43, 53

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 491190/16

Therefore the LCM of Fractions 210/688,7017/848 is 491190/16

Greatest Common Factor of 688,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,848 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 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 688,848 . The biggest common factor number is the GCF number.
So the greatest common factor 688,848 is 16.


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 210/688, 7017/848

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 210/688, 7017/848?

Answer: LCM of Numerators as per given numbers 210/688, 7017/848 is

LCM of Numerators i.e. for 210,7017 is 491190

GCF of denominators i.e. for 688,848 is 16.

Thus, LCM of Fractions is 491190/16.Finally, LCM of Fractions for 210/688, 7017/848 is 491190/16.