Least Common Multiple of 49/675, 81/592, 927/887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/675, 81/592, 927/887 quickly i.e. 408807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/675, 81/592, 927/887 is 408807.

LCM(49/675, 81/592, 927/887) = 408807

LCM of 49/675, 81/592, 927/887

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 49/675,81/592,927/887

Given numbers are 49/675,81/592,927/887

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 49,81,927

Least Common Multiple of Numerators i.e. LCM of 49,81,927 is 408807.

GCF of Denominators means GCF of 675,592,887 as per the given fractions.

GCF of 675,592,887 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,81,927

LCM of Fractions 49/675,81/592,927/887 is 408807

3 49, 81, 927
3 49, 27, 309
49, 9, 103

∴ So the LCM of the given numbers is 3 x 3 x 49 x 9 x 103 = 408807

Least Common Multiple of 49,81,927 with GCF Formula

Least Common Multiple of 49,81,927 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 49,81,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,81,927) = 1

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

GCF(49,81,927) x common factors =1 x 9 = 9

LCM(49,81,927) = ( 49 × 81 × 927 ) / 9

LCM(49,81,927) = 3679263 / 9

LCM(49,81,927) = 408807


Lets's calculate GCF of 675,592,887

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408807/1

Therefore the LCM of Fractions 49/675,81/592,927/887 is 408807

Greatest Common Factor of 675,592,887 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,592,887 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Greatest Common Factor

We found the factors 675,592,887 . The biggest common factor number is the GCF number.
So the greatest common factor 675,592,887 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 49/675, 81/592, 927/887

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 49/675, 81/592, 927/887?

Answer: LCM of Numerators as per given numbers 49/675, 81/592, 927/887 is

LCM of Numerators i.e. for 49,81,927 is 408807

GCF of denominators i.e. for 675,592,887 is 1.

Thus, LCM of Fractions is 408807.Finally, LCM of Fractions for 49/675, 81/592, 927/887 is 408807.