Least Common Multiple of 83/44, 818/49, 277/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/44, 818/49, 277/293 quickly i.e. 18806638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/44, 818/49, 277/293 is 18806638.

LCM(83/44, 818/49, 277/293) = 18806638

LCM of 83/44, 818/49, 277/293

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 83/44,818/49,277/293

Given numbers are 83/44,818/49,277/293

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 83,818,277

Least Common Multiple of Numerators i.e. LCM of 83,818,277 is 18806638.

GCF of Denominators means GCF of 44,49,293 as per the given fractions.

GCF of 44,49,293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,818,277

LCM of Fractions 83/44,818/49,277/293 is 18806638

Given numbers has no common factors except 1. So, there LCM is their product i.e 18806638

Least Common Multiple of 83,818,277 with GCF Formula

Least Common Multiple of 83,818,277 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 83,818,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,818,277) = 1

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

GCF(83,818,277) x common factors =1 x 1 = 1

LCM(83,818,277) = ( 83 × 818 × 277 ) / 1

LCM(83,818,277) = 18806638 / 1

LCM(83,818,277) = 18806638


Lets's calculate GCF of 44,49,293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18806638/1

Therefore the LCM of Fractions 83/44,818/49,277/293 is 18806638

Greatest Common Factor of 44,49,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,49,293 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 44,49,293 . The biggest common factor number is the GCF number.
So the greatest common factor 44,49,293 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/44, 818/49, 277/293

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 83/44, 818/49, 277/293?

Answer: LCM of Numerators as per given numbers 83/44, 818/49, 277/293 is

LCM of Numerators i.e. for 83,818,277 is 18806638

GCF of denominators i.e. for 44,49,293 is 1.

Thus, LCM of Fractions is 18806638.Finally, LCM of Fractions for 83/44, 818/49, 277/293 is 18806638.