Least Common Multiple of 177/99, 234/7389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 177/99, 234/7389 quickly i.e. 1534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/99, 234/7389 is 1534.

LCM(177/99, 234/7389) = 1534

LCM of 177/99, 234/7389

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 177/99,234/7389

Given numbers are 177/99,234/7389

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 177,234

Least Common Multiple of Numerators i.e. LCM of 177,234 is 13806.

GCF of Denominators means GCF of 99,7389 as per the given fractions.

GCF of 99,7389 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,234

LCM of Fractions 177/99,234/7389 is 1534

3 177, 234
59, 78

∴ So the LCM of the given numbers is 3 x 59 x 78 = 13806

Least Common Multiple of 177,234 with GCF Formula

Least Common Multiple of 177,234 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 177,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,234) = 3

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

GCF(177,234) x common factors =3 x 1 = 3

LCM(177,234) = ( 177 × 234 ) / 3

LCM(177,234) = 41418 / 3

LCM(177,234) = 13806


Lets's calculate GCF of 99,7389

3 99, 7389
3 33, 2463
11, 821

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13806/9

Therefore the LCM of Fractions 177/99,234/7389 is 1534

Greatest Common Factor of 99,7389 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,7389 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 7389

List of positive integer factors of 7389 that divides 7389 without a remainder.

1,3,9,821,2463,7389

Greatest Common Factor

We found the factors 99,7389 . The biggest common factor number is the GCF number.
So the greatest common factor 99,7389 is 9.


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 177/99, 234/7389

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 177/99, 234/7389?

Answer: LCM of Numerators as per given numbers 177/99, 234/7389 is

LCM of Numerators i.e. for 177,234 is 13806

GCF of denominators i.e. for 99,7389 is 9.

Thus, LCM of Fractions is 1534.Finally, LCM of Fractions for 177/99, 234/7389 is 1534.