Least Common Multiple of 489/775, 978/353, 224/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/775, 978/353, 224/950 quickly i.e. 109536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/775, 978/353, 224/950 is 109536.

LCM(489/775, 978/353, 224/950) = 109536

LCM of 489/775, 978/353, 224/950

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 489/775,978/353,224/950

Given numbers are 489/775,978/353,224/950

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 489,978,224

Least Common Multiple of Numerators i.e. LCM of 489,978,224 is 109536.

GCF of Denominators means GCF of 775,353,950 as per the given fractions.

GCF of 775,353,950 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,978,224

LCM of Fractions 489/775,978/353,224/950 is 109536

2 489, 978, 224
3 489, 489, 112
163 163, 163, 112
1, 1, 112

∴ So the LCM of the given numbers is 2 x 3 x 163 x 1 x 1 x 112 = 109536

Least Common Multiple of 489,978,224 with GCF Formula

Least Common Multiple of 489,978,224 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 489,978,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,978,224) = 1

common factors(in case of two or more numbers have common factors) = 978

GCF(489,978,224) x common factors =1 x 978 = 978

LCM(489,978,224) = ( 489 × 978 × 224 ) / 978

LCM(489,978,224) = 107126208 / 978

LCM(489,978,224) = 109536


Lets's calculate GCF of 775,353,950

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109536/1

Therefore the LCM of Fractions 489/775,978/353,224/950 is 109536

Greatest Common Factor of 775,353,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,353,950 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 775,353,950 . The biggest common factor number is the GCF number.
So the greatest common factor 775,353,950 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 489/775, 978/353, 224/950

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 489/775, 978/353, 224/950?

Answer: LCM of Numerators as per given numbers 489/775, 978/353, 224/950 is

LCM of Numerators i.e. for 489,978,224 is 109536

GCF of denominators i.e. for 775,353,950 is 1.

Thus, LCM of Fractions is 109536.Finally, LCM of Fractions for 489/775, 978/353, 224/950 is 109536.