Least Common Multiple of 4168/232, 6804/2144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4168/232, 6804/2144 quickly i.e. 886221 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4168/232, 6804/2144 is 886221.

LCM(4168/232, 6804/2144) = 886221

LCM of 4168/232, 6804/2144

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 4168/232,6804/2144

Given numbers are 4168/232,6804/2144

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 4168,6804

Least Common Multiple of Numerators i.e. LCM of 4168,6804 is 7089768.

GCF of Denominators means GCF of 232,2144 as per the given fractions.

GCF of 232,2144 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4168,6804

LCM of Fractions 4168/232,6804/2144 is 886221

2 4168, 6804
2 2084, 3402
1042, 1701

∴ So the LCM of the given numbers is 2 x 2 x 1042 x 1701 = 7089768

Least Common Multiple of 4168,6804 with GCF Formula

Least Common Multiple of 4168,6804 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 4168,6804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4168,6804) = 4

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

GCF(4168,6804) x common factors =4 x 1 = 4

LCM(4168,6804) = ( 4168 × 6804 ) / 4

LCM(4168,6804) = 28359072 / 4

LCM(4168,6804) = 7089768


Lets's calculate GCF of 232,2144

2 232, 2144
2 116, 1072
2 58, 536
29, 268

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7089768/8

Therefore the LCM of Fractions 4168/232,6804/2144 is 886221

Greatest Common Factor of 232,2144 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,2144 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 2144

List of positive integer factors of 2144 that divides 2144 without a remainder.

1,2,4,8,16,32,67,134,268,536,1072,2144

Greatest Common Factor

We found the factors 232,2144 . The biggest common factor number is the GCF number.
So the greatest common factor 232,2144 is 8.


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 4168/232, 6804/2144

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 4168/232, 6804/2144?

Answer: LCM of Numerators as per given numbers 4168/232, 6804/2144 is

LCM of Numerators i.e. for 4168,6804 is 7089768

GCF of denominators i.e. for 232,2144 is 8.

Thus, LCM of Fractions is 886221.Finally, LCM of Fractions for 4168/232, 6804/2144 is 886221.