Least Common Multiple of 1761/681, 3213/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1761/681, 3213/459 quickly i.e. 628677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1761/681, 3213/459 is 628677.

LCM(1761/681, 3213/459) = 628677

LCM of 1761/681, 3213/459

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 1761/681,3213/459

Given numbers are 1761/681,3213/459

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 1761,3213

Least Common Multiple of Numerators i.e. LCM of 1761,3213 is 1886031.

GCF of Denominators means GCF of 681,459 as per the given fractions.

GCF of 681,459 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1761,3213

LCM of Fractions 1761/681,3213/459 is 628677

3 1761, 3213
587, 1071

∴ So the LCM of the given numbers is 3 x 587 x 1071 = 1886031

Least Common Multiple of 1761,3213 with GCF Formula

Least Common Multiple of 1761,3213 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 1761,3213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1761,3213) = 3

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

GCF(1761,3213) x common factors =3 x 1 = 3

LCM(1761,3213) = ( 1761 × 3213 ) / 3

LCM(1761,3213) = 5658093 / 3

LCM(1761,3213) = 1886031


Lets's calculate GCF of 681,459

3 681, 459
227, 153

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1886031/3

Therefore the LCM of Fractions 1761/681,3213/459 is 628677

Greatest Common Factor of 681,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,459 By Matching Biggest Common Factor Method

Factors of 681

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

1,3,227,681

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 681,459 . The biggest common factor number is the GCF number.
So the greatest common factor 681,459 is 3.


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 1761/681, 3213/459

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 1761/681, 3213/459?

Answer: LCM of Numerators as per given numbers 1761/681, 3213/459 is

LCM of Numerators i.e. for 1761,3213 is 1886031

GCF of denominators i.e. for 681,459 is 3.

Thus, LCM of Fractions is 628677.Finally, LCM of Fractions for 1761/681, 3213/459 is 628677.