Least Common Multiple of 81/549, 696/437, 654/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/549, 696/437, 654/754 quickly i.e. 2048328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/549, 696/437, 654/754 is 2048328.

LCM(81/549, 696/437, 654/754) = 2048328

LCM of 81/549, 696/437, 654/754

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 81/549,696/437,654/754

Given numbers are 81/549,696/437,654/754

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 81,696,654

Least Common Multiple of Numerators i.e. LCM of 81,696,654 is 2048328.

GCF of Denominators means GCF of 549,437,754 as per the given fractions.

GCF of 549,437,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,696,654

LCM of Fractions 81/549,696/437,654/754 is 2048328

2 81, 696, 654
3 81, 348, 327
27, 116, 109

∴ So the LCM of the given numbers is 2 x 3 x 27 x 116 x 109 = 2048328

Least Common Multiple of 81,696,654 with GCF Formula

Least Common Multiple of 81,696,654 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 81,696,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,696,654) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(81,696,654) x common factors =3 x 6 = 18

LCM(81,696,654) = ( 81 × 696 × 654 ) / 18

LCM(81,696,654) = 36869904 / 18

LCM(81,696,654) = 2048328


Lets's calculate GCF of 549,437,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2048328/1

Therefore the LCM of Fractions 81/549,696/437,654/754 is 2048328

Greatest Common Factor of 549,437,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,437,754 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 549,437,754 . The biggest common factor number is the GCF number.
So the greatest common factor 549,437,754 is 1.


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 81/549, 696/437, 654/754

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 81/549, 696/437, 654/754?

Answer: LCM of Numerators as per given numbers 81/549, 696/437, 654/754 is

LCM of Numerators i.e. for 81,696,654 is 2048328

GCF of denominators i.e. for 549,437,754 is 1.

Thus, LCM of Fractions is 2048328.Finally, LCM of Fractions for 81/549, 696/437, 654/754 is 2048328.