Least Common Multiple of 167/48, 696/4806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 167/48, 696/4806 quickly i.e. 19372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 167/48, 696/4806 is 19372.

LCM(167/48, 696/4806) = 19372

LCM of 167/48, 696/4806

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 167/48,696/4806

Given numbers are 167/48,696/4806

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 167,696

Least Common Multiple of Numerators i.e. LCM of 167,696 is 116232.

GCF of Denominators means GCF of 48,4806 as per the given fractions.

GCF of 48,4806 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 167,696

LCM of Fractions 167/48,696/4806 is 19372

Given numbers has no common factors except 1. So, there LCM is their product i.e 116232

Least Common Multiple of 167,696 with GCF Formula

Least Common Multiple of 167,696 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 167,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,696) = 1

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

GCF(167,696) x common factors =1 x 1 = 1

LCM(167,696) = ( 167 × 696 ) / 1

LCM(167,696) = 116232 / 1

LCM(167,696) = 116232


Lets's calculate GCF of 48,4806

2 48, 4806
3 24, 2403
8, 801

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116232/6

Therefore the LCM of Fractions 167/48,696/4806 is 19372

Greatest Common Factor of 48,4806 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,4806 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 4806

List of positive integer factors of 4806 that divides 4806 without a remainder.

1,2,3,6,9,18,27,54,89,178,267,534,801,1602,2403,4806

Greatest Common Factor

We found the factors 48,4806 . The biggest common factor number is the GCF number.
So the greatest common factor 48,4806 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 167/48, 696/4806

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 167/48, 696/4806?

Answer: LCM of Numerators as per given numbers 167/48, 696/4806 is

LCM of Numerators i.e. for 167,696 is 116232

GCF of denominators i.e. for 48,4806 is 6.

Thus, LCM of Fractions is 19372.Finally, LCM of Fractions for 167/48, 696/4806 is 19372.