Least Common Multiple of 174/22, 123/6942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/22, 123/6942 quickly i.e. 3567 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/22, 123/6942 is 3567.

LCM(174/22, 123/6942) = 3567

LCM of 174/22, 123/6942

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 174/22,123/6942

Given numbers are 174/22,123/6942

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 174,123

Least Common Multiple of Numerators i.e. LCM of 174,123 is 7134.

GCF of Denominators means GCF of 22,6942 as per the given fractions.

GCF of 22,6942 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,123

LCM of Fractions 174/22,123/6942 is 3567

3 174, 123
58, 41

∴ So the LCM of the given numbers is 3 x 58 x 41 = 7134

Least Common Multiple of 174,123 with GCF Formula

Least Common Multiple of 174,123 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 174,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,123) = 3

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

GCF(174,123) x common factors =3 x 1 = 3

LCM(174,123) = ( 174 × 123 ) / 3

LCM(174,123) = 21402 / 3

LCM(174,123) = 7134


Lets's calculate GCF of 22,6942

2 22, 6942
11, 3471

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7134/2

Therefore the LCM of Fractions 174/22,123/6942 is 3567

Greatest Common Factor of 22,6942 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,6942 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 6942

List of positive integer factors of 6942 that divides 6942 without a remainder.

1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942

Greatest Common Factor

We found the factors 22,6942 . The biggest common factor number is the GCF number.
So the greatest common factor 22,6942 is 2.


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 174/22, 123/6942

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 174/22, 123/6942?

Answer: LCM of Numerators as per given numbers 174/22, 123/6942 is

LCM of Numerators i.e. for 174,123 is 7134

GCF of denominators i.e. for 22,6942 is 2.

Thus, LCM of Fractions is 3567.Finally, LCM of Fractions for 174/22, 123/6942 is 3567.