Least Common Multiple of 2428/82, 4384/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2428/82, 4384/670 quickly i.e. 1330544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2428/82, 4384/670 is 1330544.

LCM(2428/82, 4384/670) = 1330544

LCM of 2428/82, 4384/670

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 2428/82,4384/670

Given numbers are 2428/82,4384/670

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 2428,4384

Least Common Multiple of Numerators i.e. LCM of 2428,4384 is 2661088.

GCF of Denominators means GCF of 82,670 as per the given fractions.

GCF of 82,670 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2428,4384

LCM of Fractions 2428/82,4384/670 is 1330544

2 2428, 4384
2 1214, 2192
607, 1096

∴ So the LCM of the given numbers is 2 x 2 x 607 x 1096 = 2661088

Least Common Multiple of 2428,4384 with GCF Formula

Least Common Multiple of 2428,4384 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 2428,4384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2428,4384) = 4

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

GCF(2428,4384) x common factors =4 x 1 = 4

LCM(2428,4384) = ( 2428 × 4384 ) / 4

LCM(2428,4384) = 10644352 / 4

LCM(2428,4384) = 2661088


Lets's calculate GCF of 82,670

2 82, 670
41, 335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2661088/2

Therefore the LCM of Fractions 2428/82,4384/670 is 1330544

Greatest Common Factor of 82,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,670 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 82,670 . The biggest common factor number is the GCF number.
So the greatest common factor 82,670 is 2.


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 2428/82, 4384/670

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 2428/82, 4384/670?

Answer: LCM of Numerators as per given numbers 2428/82, 4384/670 is

LCM of Numerators i.e. for 2428,4384 is 2661088

GCF of denominators i.e. for 82,670 is 2.

Thus, LCM of Fractions is 1330544.Finally, LCM of Fractions for 2428/82, 4384/670 is 1330544.