Least Common Multiple of 2144/421, 2430/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2144/421, 2430/688 quickly i.e. 2604960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2144/421, 2430/688 is 2604960.

LCM(2144/421, 2430/688) = 2604960

LCM of 2144/421, 2430/688

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 2144/421,2430/688

Given numbers are 2144/421,2430/688

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 2144,2430

Least Common Multiple of Numerators i.e. LCM of 2144,2430 is 2604960.

GCF of Denominators means GCF of 421,688 as per the given fractions.

GCF of 421,688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2144,2430

LCM of Fractions 2144/421,2430/688 is 2604960

2 2144, 2430
1072, 1215

∴ So the LCM of the given numbers is 2 x 1072 x 1215 = 2604960

Least Common Multiple of 2144,2430 with GCF Formula

Least Common Multiple of 2144,2430 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 2144,2430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2144,2430) = 2

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

GCF(2144,2430) x common factors =2 x 1 = 2

LCM(2144,2430) = ( 2144 × 2430 ) / 2

LCM(2144,2430) = 5209920 / 2

LCM(2144,2430) = 2604960


Lets's calculate GCF of 421,688

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2604960/1

Therefore the LCM of Fractions 2144/421,2430/688 is 2604960

Greatest Common Factor of 421,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,688 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 421,688 . The biggest common factor number is the GCF number.
So the greatest common factor 421,688 is 1.


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 2144/421, 2430/688

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 2144/421, 2430/688?

Answer: LCM of Numerators as per given numbers 2144/421, 2430/688 is

LCM of Numerators i.e. for 2144,2430 is 2604960

GCF of denominators i.e. for 421,688 is 1.

Thus, LCM of Fractions is 2604960.Finally, LCM of Fractions for 2144/421, 2430/688 is 2604960.