Least Common Multiple of 1643/605, 1939/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1643/605, 1939/681 quickly i.e. 3185777 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1643/605, 1939/681 is 3185777.

LCM(1643/605, 1939/681) = 3185777

LCM of 1643/605, 1939/681

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 1643/605,1939/681

Given numbers are 1643/605,1939/681

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 1643,1939

Least Common Multiple of Numerators i.e. LCM of 1643,1939 is 3185777.

GCF of Denominators means GCF of 605,681 as per the given fractions.

GCF of 605,681 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1643,1939

LCM of Fractions 1643/605,1939/681 is 3185777

Given numbers has no common factors except 1. So, there LCM is their product i.e 3185777

Least Common Multiple of 1643,1939 with GCF Formula

Least Common Multiple of 1643,1939 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 1643,1939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1643,1939) = 1

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

GCF(1643,1939) x common factors =1 x 1 = 1

LCM(1643,1939) = ( 1643 × 1939 ) / 1

LCM(1643,1939) = 3185777 / 1

LCM(1643,1939) = 3185777


Lets's calculate GCF of 605,681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3185777/1

Therefore the LCM of Fractions 1643/605,1939/681 is 3185777

Greatest Common Factor of 605,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,681 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 605,681 . The biggest common factor number is the GCF number.
So the greatest common factor 605,681 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 1643/605, 1939/681

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 1643/605, 1939/681?

Answer: LCM of Numerators as per given numbers 1643/605, 1939/681 is

LCM of Numerators i.e. for 1643,1939 is 3185777

GCF of denominators i.e. for 605,681 is 1.

Thus, LCM of Fractions is 3185777.Finally, LCM of Fractions for 1643/605, 1939/681 is 3185777.