Least Common Multiple of 803/71, 774/44, 801/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 803/71, 774/44, 801/544 quickly i.e. 55315458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 803/71, 774/44, 801/544 is 55315458.

LCM(803/71, 774/44, 801/544) = 55315458

LCM of 803/71, 774/44, 801/544

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 803/71,774/44,801/544

Given numbers are 803/71,774/44,801/544

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 803,774,801

Least Common Multiple of Numerators i.e. LCM of 803,774,801 is 55315458.

GCF of Denominators means GCF of 71,44,544 as per the given fractions.

GCF of 71,44,544 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 803,774,801

LCM of Fractions 803/71,774/44,801/544 is 55315458

3 803, 774, 801
3 803, 258, 267
803, 86, 89

∴ So the LCM of the given numbers is 3 x 3 x 803 x 86 x 89 = 55315458

Least Common Multiple of 803,774,801 with GCF Formula

Least Common Multiple of 803,774,801 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 803,774,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,774,801) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(803,774,801) x common factors =1 x 9 = 9

LCM(803,774,801) = ( 803 × 774 × 801 ) / 9

LCM(803,774,801) = 497839122 / 9

LCM(803,774,801) = 55315458


Lets's calculate GCF of 71,44,544

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55315458/1

Therefore the LCM of Fractions 803/71,774/44,801/544 is 55315458

Greatest Common Factor of 71,44,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,44,544 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 71,44,544 . The biggest common factor number is the GCF number.
So the greatest common factor 71,44,544 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 803/71, 774/44, 801/544

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 803/71, 774/44, 801/544?

Answer: LCM of Numerators as per given numbers 803/71, 774/44, 801/544 is

LCM of Numerators i.e. for 803,774,801 is 55315458

GCF of denominators i.e. for 71,44,544 is 1.

Thus, LCM of Fractions is 55315458.Finally, LCM of Fractions for 803/71, 774/44, 801/544 is 55315458.