Least Common Multiple of 821/74, 908/2809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/74, 908/2809 quickly i.e. 745468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/74, 908/2809 is 745468.

LCM(821/74, 908/2809) = 745468

LCM of 821/74, 908/2809

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 821/74,908/2809

Given numbers are 821/74,908/2809

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 821,908

Least Common Multiple of Numerators i.e. LCM of 821,908 is 745468.

GCF of Denominators means GCF of 74,2809 as per the given fractions.

GCF of 74,2809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,908

LCM of Fractions 821/74,908/2809 is 745468

Given numbers has no common factors except 1. So, there LCM is their product i.e 745468

Least Common Multiple of 821,908 with GCF Formula

Least Common Multiple of 821,908 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 821,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,908) = 1

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

GCF(821,908) x common factors =1 x 1 = 1

LCM(821,908) = ( 821 × 908 ) / 1

LCM(821,908) = 745468 / 1

LCM(821,908) = 745468


Lets's calculate GCF of 74,2809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 745468/1

Therefore the LCM of Fractions 821/74,908/2809 is 745468

Greatest Common Factor of 74,2809 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,2809 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 2809

List of positive integer factors of 2809 that divides 2809 without a remainder.

1,53,2809

Greatest Common Factor

We found the factors 74,2809 . The biggest common factor number is the GCF number.
So the greatest common factor 74,2809 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 821/74, 908/2809

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 821/74, 908/2809?

Answer: LCM of Numerators as per given numbers 821/74, 908/2809 is

LCM of Numerators i.e. for 821,908 is 745468

GCF of denominators i.e. for 74,2809 is 1.

Thus, LCM of Fractions is 745468.Finally, LCM of Fractions for 821/74, 908/2809 is 745468.