Least Common Multiple of 1446/506, 2878/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1446/506, 2878/508 quickly i.e. 1040397 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1446/506, 2878/508 is 1040397.

LCM(1446/506, 2878/508) = 1040397

LCM of 1446/506, 2878/508

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 1446/506,2878/508

Given numbers are 1446/506,2878/508

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 1446,2878

Least Common Multiple of Numerators i.e. LCM of 1446,2878 is 2080794.

GCF of Denominators means GCF of 506,508 as per the given fractions.

GCF of 506,508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1446,2878

LCM of Fractions 1446/506,2878/508 is 1040397

2 1446, 2878
723, 1439

∴ So the LCM of the given numbers is 2 x 723 x 1439 = 2080794

Least Common Multiple of 1446,2878 with GCF Formula

Least Common Multiple of 1446,2878 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 1446,2878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1446,2878) = 2

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

GCF(1446,2878) x common factors =2 x 1 = 2

LCM(1446,2878) = ( 1446 × 2878 ) / 2

LCM(1446,2878) = 4161588 / 2

LCM(1446,2878) = 2080794


Lets's calculate GCF of 506,508

2 506, 508
253, 254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2080794/2

Therefore the LCM of Fractions 1446/506,2878/508 is 1040397

Greatest Common Factor of 506,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,508 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 506,508 . The biggest common factor number is the GCF number.
So the greatest common factor 506,508 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 1446/506, 2878/508

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 1446/506, 2878/508?

Answer: LCM of Numerators as per given numbers 1446/506, 2878/508 is

LCM of Numerators i.e. for 1446,2878 is 2080794

GCF of denominators i.e. for 506,508 is 2.

Thus, LCM of Fractions is 1040397.Finally, LCM of Fractions for 1446/506, 2878/508 is 1040397.