Least Common Multiple of 33/83, 70/760, 489/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/83, 70/760, 489/277 quickly i.e. 376530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/83, 70/760, 489/277 is 376530.

LCM(33/83, 70/760, 489/277) = 376530

LCM of 33/83, 70/760, 489/277

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 33/83,70/760,489/277

Given numbers are 33/83,70/760,489/277

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 33,70,489

Least Common Multiple of Numerators i.e. LCM of 33,70,489 is 376530.

GCF of Denominators means GCF of 83,760,277 as per the given fractions.

GCF of 83,760,277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,70,489

LCM of Fractions 33/83,70/760,489/277 is 376530

3 33, 70, 489
11, 70, 163

∴ So the LCM of the given numbers is 3 x 11 x 70 x 163 = 376530

Least Common Multiple of 33,70,489 with GCF Formula

Least Common Multiple of 33,70,489 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 33,70,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,70,489) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,70,489) x common factors =1 x 3 = 3

LCM(33,70,489) = ( 33 × 70 × 489 ) / 3

LCM(33,70,489) = 1129590 / 3

LCM(33,70,489) = 376530


Lets's calculate GCF of 83,760,277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376530/1

Therefore the LCM of Fractions 33/83,70/760,489/277 is 376530

Greatest Common Factor of 83,760,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,760,277 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 83,760,277 . The biggest common factor number is the GCF number.
So the greatest common factor 83,760,277 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 33/83, 70/760, 489/277

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 33/83, 70/760, 489/277?

Answer: LCM of Numerators as per given numbers 33/83, 70/760, 489/277 is

LCM of Numerators i.e. for 33,70,489 is 376530

GCF of denominators i.e. for 83,760,277 is 1.

Thus, LCM of Fractions is 376530.Finally, LCM of Fractions for 33/83, 70/760, 489/277 is 376530.