Least Common Multiple of 28/32, 719/55, 997/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/32, 719/55, 997/245 quickly i.e. 20071604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/32, 719/55, 997/245 is 20071604.

LCM(28/32, 719/55, 997/245) = 20071604

LCM of 28/32, 719/55, 997/245

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 28/32,719/55,997/245

Given numbers are 28/32,719/55,997/245

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 28,719,997

Least Common Multiple of Numerators i.e. LCM of 28,719,997 is 20071604.

GCF of Denominators means GCF of 32,55,245 as per the given fractions.

GCF of 32,55,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,719,997

LCM of Fractions 28/32,719/55,997/245 is 20071604

Given numbers has no common factors except 1. So, there LCM is their product i.e 20071604

Least Common Multiple of 28,719,997 with GCF Formula

Least Common Multiple of 28,719,997 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 28,719,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,719,997) = 1

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

GCF(28,719,997) x common factors =1 x 1 = 1

LCM(28,719,997) = ( 28 × 719 × 997 ) / 1

LCM(28,719,997) = 20071604 / 1

LCM(28,719,997) = 20071604


Lets's calculate GCF of 32,55,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20071604/1

Therefore the LCM of Fractions 28/32,719/55,997/245 is 20071604

Greatest Common Factor of 32,55,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,55,245 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 32,55,245 . The biggest common factor number is the GCF number.
So the greatest common factor 32,55,245 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 28/32, 719/55, 997/245

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 28/32, 719/55, 997/245?

Answer: LCM of Numerators as per given numbers 28/32, 719/55, 997/245 is

LCM of Numerators i.e. for 28,719,997 is 20071604

GCF of denominators i.e. for 32,55,245 is 1.

Thus, LCM of Fractions is 20071604.Finally, LCM of Fractions for 28/32, 719/55, 997/245 is 20071604.