Least Common Multiple of 45/27, 76/761, 592/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/27, 76/761, 592/794 quickly i.e. 506160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/27, 76/761, 592/794 is 506160.

LCM(45/27, 76/761, 592/794) = 506160

LCM of 45/27, 76/761, 592/794

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 45/27,76/761,592/794

Given numbers are 45/27,76/761,592/794

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 45,76,592

Least Common Multiple of Numerators i.e. LCM of 45,76,592 is 506160.

GCF of Denominators means GCF of 27,761,794 as per the given fractions.

GCF of 27,761,794 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,76,592

LCM of Fractions 45/27,76/761,592/794 is 506160

2 45, 76, 592
2 45, 38, 296
45, 19, 148

∴ So the LCM of the given numbers is 2 x 2 x 45 x 19 x 148 = 506160

Least Common Multiple of 45,76,592 with GCF Formula

Least Common Multiple of 45,76,592 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 45,76,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,76,592) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(45,76,592) x common factors =1 x 4 = 4

LCM(45,76,592) = ( 45 × 76 × 592 ) / 4

LCM(45,76,592) = 2024640 / 4

LCM(45,76,592) = 506160


Lets's calculate GCF of 27,761,794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 506160/1

Therefore the LCM of Fractions 45/27,76/761,592/794 is 506160

Greatest Common Factor of 27,761,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,761,794 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 27,761,794 . The biggest common factor number is the GCF number.
So the greatest common factor 27,761,794 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 45/27, 76/761, 592/794

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 45/27, 76/761, 592/794?

Answer: LCM of Numerators as per given numbers 45/27, 76/761, 592/794 is

LCM of Numerators i.e. for 45,76,592 is 506160

GCF of denominators i.e. for 27,761,794 is 1.

Thus, LCM of Fractions is 506160.Finally, LCM of Fractions for 45/27, 76/761, 592/794 is 506160.