Least Common Multiple of 277/990, 565/169, 361/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 277/990, 565/169, 361/803 quickly i.e. 56498305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/990, 565/169, 361/803 is 56498305.

LCM(277/990, 565/169, 361/803) = 56498305

LCM of 277/990, 565/169, 361/803

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 277/990,565/169,361/803

Given numbers are 277/990,565/169,361/803

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 277,565,361

Least Common Multiple of Numerators i.e. LCM of 277,565,361 is 56498305.

GCF of Denominators means GCF of 990,169,803 as per the given fractions.

GCF of 990,169,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,565,361

LCM of Fractions 277/990,565/169,361/803 is 56498305

Given numbers has no common factors except 1. So, there LCM is their product i.e 56498305

Least Common Multiple of 277,565,361 with GCF Formula

Least Common Multiple of 277,565,361 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 277,565,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,565,361) = 1

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

GCF(277,565,361) x common factors =1 x 1 = 1

LCM(277,565,361) = ( 277 × 565 × 361 ) / 1

LCM(277,565,361) = 56498305 / 1

LCM(277,565,361) = 56498305


Lets's calculate GCF of 990,169,803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56498305/1

Therefore the LCM of Fractions 277/990,565/169,361/803 is 56498305

Greatest Common Factor of 990,169,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,169,803 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 990,169,803 . The biggest common factor number is the GCF number.
So the greatest common factor 990,169,803 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 277/990, 565/169, 361/803

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 277/990, 565/169, 361/803?

Answer: LCM of Numerators as per given numbers 277/990, 565/169, 361/803 is

LCM of Numerators i.e. for 277,565,361 is 56498305

GCF of denominators i.e. for 990,169,803 is 1.

Thus, LCM of Fractions is 56498305.Finally, LCM of Fractions for 277/990, 565/169, 361/803 is 56498305.