Least Common Multiple of 245/190, 1472/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 245/190, 1472/484 quickly i.e. 180320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 245/190, 1472/484 is 180320.

LCM(245/190, 1472/484) = 180320

LCM of 245/190, 1472/484

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 245/190,1472/484

Given numbers are 245/190,1472/484

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 245,1472

Least Common Multiple of Numerators i.e. LCM of 245,1472 is 360640.

GCF of Denominators means GCF of 190,484 as per the given fractions.

GCF of 190,484 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 245,1472

LCM of Fractions 245/190,1472/484 is 180320

Given numbers has no common factors except 1. So, there LCM is their product i.e 360640

Least Common Multiple of 245,1472 with GCF Formula

Least Common Multiple of 245,1472 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 245,1472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,1472) = 1

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

GCF(245,1472) x common factors =1 x 1 = 1

LCM(245,1472) = ( 245 × 1472 ) / 1

LCM(245,1472) = 360640 / 1

LCM(245,1472) = 360640


Lets's calculate GCF of 190,484

2 190, 484
95, 242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360640/2

Therefore the LCM of Fractions 245/190,1472/484 is 180320

Greatest Common Factor of 190,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,484 By Matching Biggest Common Factor Method

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 190,484 . The biggest common factor number is the GCF number.
So the greatest common factor 190,484 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 245/190, 1472/484

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 245/190, 1472/484?

Answer: LCM of Numerators as per given numbers 245/190, 1472/484 is

LCM of Numerators i.e. for 245,1472 is 360640

GCF of denominators i.e. for 190,484 is 2.

Thus, LCM of Fractions is 180320.Finally, LCM of Fractions for 245/190, 1472/484 is 180320.