Least Common Multiple of 172/252, 1176/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 172/252, 1176/686 quickly i.e. 3612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 172/252, 1176/686 is 3612.

LCM(172/252, 1176/686) = 3612

LCM of 172/252, 1176/686

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 172/252,1176/686

Given numbers are 172/252,1176/686

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 172,1176

Least Common Multiple of Numerators i.e. LCM of 172,1176 is 50568.

GCF of Denominators means GCF of 252,686 as per the given fractions.

GCF of 252,686 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 172,1176

LCM of Fractions 172/252,1176/686 is 3612

2 172, 1176
2 86, 588
43, 294

∴ So the LCM of the given numbers is 2 x 2 x 43 x 294 = 50568

Least Common Multiple of 172,1176 with GCF Formula

Least Common Multiple of 172,1176 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 172,1176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,1176) = 4

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

GCF(172,1176) x common factors =4 x 1 = 4

LCM(172,1176) = ( 172 × 1176 ) / 4

LCM(172,1176) = 202272 / 4

LCM(172,1176) = 50568


Lets's calculate GCF of 252,686

2 252, 686
7 126, 343
18, 49

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50568/14

Therefore the LCM of Fractions 172/252,1176/686 is 3612

Greatest Common Factor of 252,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,686 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 252,686 . The biggest common factor number is the GCF number.
So the greatest common factor 252,686 is 14.


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 172/252, 1176/686

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 172/252, 1176/686?

Answer: LCM of Numerators as per given numbers 172/252, 1176/686 is

LCM of Numerators i.e. for 172,1176 is 50568

GCF of denominators i.e. for 252,686 is 14.

Thus, LCM of Fractions is 3612.Finally, LCM of Fractions for 172/252, 1176/686 is 3612.