Least Common Multiple of 4414/328, 2492/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4414/328, 2492/562 quickly i.e. 2749922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4414/328, 2492/562 is 2749922.

LCM(4414/328, 2492/562) = 2749922

LCM of 4414/328, 2492/562

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 4414/328,2492/562

Given numbers are 4414/328,2492/562

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 4414,2492

Least Common Multiple of Numerators i.e. LCM of 4414,2492 is 5499844.

GCF of Denominators means GCF of 328,562 as per the given fractions.

GCF of 328,562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4414,2492

LCM of Fractions 4414/328,2492/562 is 2749922

2 4414, 2492
2207, 1246

∴ So the LCM of the given numbers is 2 x 2207 x 1246 = 5499844

Least Common Multiple of 4414,2492 with GCF Formula

Least Common Multiple of 4414,2492 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 4414,2492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4414,2492) = 2

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

GCF(4414,2492) x common factors =2 x 1 = 2

LCM(4414,2492) = ( 4414 × 2492 ) / 2

LCM(4414,2492) = 10999688 / 2

LCM(4414,2492) = 5499844


Lets's calculate GCF of 328,562

2 328, 562
164, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5499844/2

Therefore the LCM of Fractions 4414/328,2492/562 is 2749922

Greatest Common Factor of 328,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,562 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 328,562 . The biggest common factor number is the GCF number.
So the greatest common factor 328,562 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 4414/328, 2492/562

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 4414/328, 2492/562?

Answer: LCM of Numerators as per given numbers 4414/328, 2492/562 is

LCM of Numerators i.e. for 4414,2492 is 5499844

GCF of denominators i.e. for 328,562 is 2.

Thus, LCM of Fractions is 2749922.Finally, LCM of Fractions for 4414/328, 2492/562 is 2749922.