Least Common Multiple of 45/272, 67/532, 892/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/272, 67/532, 892/687 quickly i.e. 2689380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/272, 67/532, 892/687 is 2689380.

LCM(45/272, 67/532, 892/687) = 2689380

LCM of 45/272, 67/532, 892/687

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 45/272,67/532,892/687

Given numbers are 45/272,67/532,892/687

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 45,67,892

Least Common Multiple of Numerators i.e. LCM of 45,67,892 is 2689380.

GCF of Denominators means GCF of 272,532,687 as per the given fractions.

GCF of 272,532,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,67,892

LCM of Fractions 45/272,67/532,892/687 is 2689380

Given numbers has no common factors except 1. So, there LCM is their product i.e 2689380

Least Common Multiple of 45,67,892 with GCF Formula

Least Common Multiple of 45,67,892 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 45,67,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,67,892) = 1

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

GCF(45,67,892) x common factors =1 x 1 = 1

LCM(45,67,892) = ( 45 × 67 × 892 ) / 1

LCM(45,67,892) = 2689380 / 1

LCM(45,67,892) = 2689380


Lets's calculate GCF of 272,532,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2689380/1

Therefore the LCM of Fractions 45/272,67/532,892/687 is 2689380

Greatest Common Factor of 272,532,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,532,687 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

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

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 272,532,687 . The biggest common factor number is the GCF number.
So the greatest common factor 272,532,687 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 45/272, 67/532, 892/687

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 45/272, 67/532, 892/687?

Answer: LCM of Numerators as per given numbers 45/272, 67/532, 892/687 is

LCM of Numerators i.e. for 45,67,892 is 2689380

GCF of denominators i.e. for 272,532,687 is 1.

Thus, LCM of Fractions is 2689380.Finally, LCM of Fractions for 45/272, 67/532, 892/687 is 2689380.