Least Common Multiple of 5760/392, 7084/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5760/392, 7084/168 quickly i.e. 182160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5760/392, 7084/168 is 182160.

LCM(5760/392, 7084/168) = 182160

LCM of 5760/392, 7084/168

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 5760/392,7084/168

Given numbers are 5760/392,7084/168

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 5760,7084

Least Common Multiple of Numerators i.e. LCM of 5760,7084 is 10200960.

GCF of Denominators means GCF of 392,168 as per the given fractions.

GCF of 392,168 is 56 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5760,7084

LCM of Fractions 5760/392,7084/168 is 182160

2 5760, 7084
2 2880, 3542
1440, 1771

∴ So the LCM of the given numbers is 2 x 2 x 1440 x 1771 = 10200960

Least Common Multiple of 5760,7084 with GCF Formula

Least Common Multiple of 5760,7084 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 5760,7084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5760,7084) = 4

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

GCF(5760,7084) x common factors =4 x 1 = 4

LCM(5760,7084) = ( 5760 × 7084 ) / 4

LCM(5760,7084) = 40803840 / 4

LCM(5760,7084) = 10200960


Lets's calculate GCF of 392,168

2 392, 168
2 196, 84
2 98, 42
7 49, 21
7, 3

∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10200960/56

Therefore the LCM of Fractions 5760/392,7084/168 is 182160

Greatest Common Factor of 392,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,168 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 392,168 . The biggest common factor number is the GCF number.
So the greatest common factor 392,168 is 56.


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 5760/392, 7084/168

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 5760/392, 7084/168?

Answer: LCM of Numerators as per given numbers 5760/392, 7084/168 is

LCM of Numerators i.e. for 5760,7084 is 10200960

GCF of denominators i.e. for 392,168 is 56.

Thus, LCM of Fractions is 182160.Finally, LCM of Fractions for 5760/392, 7084/168 is 182160.