Least Common Multiple of 177/19, 1069/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 177/19, 1069/732 quickly i.e. 189213 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/19, 1069/732 is 189213.

LCM(177/19, 1069/732) = 189213

LCM of 177/19, 1069/732

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 177/19,1069/732

Given numbers are 177/19,1069/732

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 177,1069

Least Common Multiple of Numerators i.e. LCM of 177,1069 is 189213.

GCF of Denominators means GCF of 19,732 as per the given fractions.

GCF of 19,732 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,1069

LCM of Fractions 177/19,1069/732 is 189213

Given numbers has no common factors except 1. So, there LCM is their product i.e 189213

Least Common Multiple of 177,1069 with GCF Formula

Least Common Multiple of 177,1069 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 177,1069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,1069) = 1

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

GCF(177,1069) x common factors =1 x 1 = 1

LCM(177,1069) = ( 177 × 1069 ) / 1

LCM(177,1069) = 189213 / 1

LCM(177,1069) = 189213


Lets's calculate GCF of 19,732

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189213/1

Therefore the LCM of Fractions 177/19,1069/732 is 189213

Greatest Common Factor of 19,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,732 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 19,732 . The biggest common factor number is the GCF number.
So the greatest common factor 19,732 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 177/19, 1069/732

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 177/19, 1069/732?

Answer: LCM of Numerators as per given numbers 177/19, 1069/732 is

LCM of Numerators i.e. for 177,1069 is 189213

GCF of denominators i.e. for 19,732 is 1.

Thus, LCM of Fractions is 189213.Finally, LCM of Fractions for 177/19, 1069/732 is 189213.