Least Common Multiple of 489/910, 2978/2934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/910, 2978/2934 quickly i.e. 728121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/910, 2978/2934 is 728121.

LCM(489/910, 2978/2934) = 728121

LCM of 489/910, 2978/2934

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 489/910,2978/2934

Given numbers are 489/910,2978/2934

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 489,2978

Least Common Multiple of Numerators i.e. LCM of 489,2978 is 1456242.

GCF of Denominators means GCF of 910,2934 as per the given fractions.

GCF of 910,2934 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,2978

LCM of Fractions 489/910,2978/2934 is 728121

Given numbers has no common factors except 1. So, there LCM is their product i.e 1456242

Least Common Multiple of 489,2978 with GCF Formula

Least Common Multiple of 489,2978 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 489,2978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,2978) = 1

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

GCF(489,2978) x common factors =1 x 1 = 1

LCM(489,2978) = ( 489 × 2978 ) / 1

LCM(489,2978) = 1456242 / 1

LCM(489,2978) = 1456242


Lets's calculate GCF of 910,2934

2 910, 2934
455, 1467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1456242/2

Therefore the LCM of Fractions 489/910,2978/2934 is 728121

Greatest Common Factor of 910,2934 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,2934 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 2934

List of positive integer factors of 2934 that divides 2934 without a remainder.

1,2,3,6,9,18,163,326,489,978,1467,2934

Greatest Common Factor

We found the factors 910,2934 . The biggest common factor number is the GCF number.
So the greatest common factor 910,2934 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 489/910, 2978/2934

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 489/910, 2978/2934?

Answer: LCM of Numerators as per given numbers 489/910, 2978/2934 is

LCM of Numerators i.e. for 489,2978 is 1456242

GCF of denominators i.e. for 910,2934 is 2.

Thus, LCM of Fractions is 728121.Finally, LCM of Fractions for 489/910, 2978/2934 is 728121.