Least Common Multiple of 29/277, 19/271, 683/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/277, 19/271, 683/997 quickly i.e. 376333 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/277, 19/271, 683/997 is 376333.

LCM(29/277, 19/271, 683/997) = 376333

LCM of 29/277, 19/271, 683/997

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 29/277,19/271,683/997

Given numbers are 29/277,19/271,683/997

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 29,19,683

Least Common Multiple of Numerators i.e. LCM of 29,19,683 is 376333.

GCF of Denominators means GCF of 277,271,997 as per the given fractions.

GCF of 277,271,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,19,683

LCM of Fractions 29/277,19/271,683/997 is 376333

Given numbers has no common factors except 1. So, there LCM is their product i.e 376333

Least Common Multiple of 29,19,683 with GCF Formula

Least Common Multiple of 29,19,683 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 29,19,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,19,683) = 1

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

GCF(29,19,683) x common factors =1 x 1 = 1

LCM(29,19,683) = ( 29 × 19 × 683 ) / 1

LCM(29,19,683) = 376333 / 1

LCM(29,19,683) = 376333


Lets's calculate GCF of 277,271,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376333/1

Therefore the LCM of Fractions 29/277,19/271,683/997 is 376333

Greatest Common Factor of 277,271,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,271,997 By Matching Biggest Common Factor Method

Factors of 277

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

1,277

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 277,271,997 . The biggest common factor number is the GCF number.
So the greatest common factor 277,271,997 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/277, 19/271, 683/997

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 29/277, 19/271, 683/997?

Answer: LCM of Numerators as per given numbers 29/277, 19/271, 683/997 is

LCM of Numerators i.e. for 29,19,683 is 376333

GCF of denominators i.e. for 277,271,997 is 1.

Thus, LCM of Fractions is 376333.Finally, LCM of Fractions for 29/277, 19/271, 683/997 is 376333.