Least Common Multiple of 821/354, 514/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/354, 514/168 quickly i.e. 421994/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/354, 514/168 is 421994/6.

LCM(821/354, 514/168) = 421994/6

LCM of 821/354, 514/168

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 821/354,514/168

Given numbers are 821/354,514/168

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 821,514

Least Common Multiple of Numerators i.e. LCM of 821,514 is 421994.

GCF of Denominators means GCF of 354,168 as per the given fractions.

GCF of 354,168 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,514

LCM of Fractions 821/354,514/168 is 421994/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 421994

Least Common Multiple of 821,514 with GCF Formula

Least Common Multiple of 821,514 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 821,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,514) = 1

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

GCF(821,514) x common factors =1 x 1 = 1

LCM(821,514) = ( 821 × 514 ) / 1

LCM(821,514) = 421994 / 1

LCM(821,514) = 421994


Lets's calculate GCF of 354,168

2 354, 168
3 177, 84
59, 28

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 421994/6

Therefore the LCM of Fractions 821/354,514/168 is 421994/6

Greatest Common Factor of 354,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,168 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 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 354,168 . The biggest common factor number is the GCF number.
So the greatest common factor 354,168 is 6.


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 821/354, 514/168

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 821/354, 514/168?

Answer: LCM of Numerators as per given numbers 821/354, 514/168 is

LCM of Numerators i.e. for 821,514 is 421994

GCF of denominators i.e. for 354,168 is 6.

Thus, LCM of Fractions is 421994/6.Finally, LCM of Fractions for 821/354, 514/168 is 421994/6.