Least Common Multiple of 205/995, 691/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 205/995, 691/734 quickly i.e. 141655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/995, 691/734 is 141655.

LCM(205/995, 691/734) = 141655

LCM of 205/995, 691/734

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 205/995,691/734

Given numbers are 205/995,691/734

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 205,691

Least Common Multiple of Numerators i.e. LCM of 205,691 is 141655.

GCF of Denominators means GCF of 995,734 as per the given fractions.

GCF of 995,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,691

LCM of Fractions 205/995,691/734 is 141655

Given numbers has no common factors except 1. So, there LCM is their product i.e 141655

Least Common Multiple of 205,691 with GCF Formula

Least Common Multiple of 205,691 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 205,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,691) = 1

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

GCF(205,691) x common factors =1 x 1 = 1

LCM(205,691) = ( 205 × 691 ) / 1

LCM(205,691) = 141655 / 1

LCM(205,691) = 141655


Lets's calculate GCF of 995,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141655/1

Therefore the LCM of Fractions 205/995,691/734 is 141655

Greatest Common Factor of 995,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 995,734 By Matching Biggest Common Factor Method

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 995,734 . The biggest common factor number is the GCF number.
So the greatest common factor 995,734 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 205/995, 691/734

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 205/995, 691/734?

Answer: LCM of Numerators as per given numbers 205/995, 691/734 is

LCM of Numerators i.e. for 205,691 is 141655

GCF of denominators i.e. for 995,734 is 1.

Thus, LCM of Fractions is 141655.Finally, LCM of Fractions for 205/995, 691/734 is 141655.