Least Common Multiple of 20/308, 197/240, 559/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/308, 197/240, 559/178 quickly i.e. 1101230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/308, 197/240, 559/178 is 1101230.

LCM(20/308, 197/240, 559/178) = 1101230

LCM of 20/308, 197/240, 559/178

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 20/308,197/240,559/178

Given numbers are 20/308,197/240,559/178

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 20,197,559

Least Common Multiple of Numerators i.e. LCM of 20,197,559 is 2202460.

GCF of Denominators means GCF of 308,240,178 as per the given fractions.

GCF of 308,240,178 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,197,559

LCM of Fractions 20/308,197/240,559/178 is 1101230

Given numbers has no common factors except 1. So, there LCM is their product i.e 2202460

Least Common Multiple of 20,197,559 with GCF Formula

Least Common Multiple of 20,197,559 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 20,197,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,197,559) = 1

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

GCF(20,197,559) x common factors =1 x 1 = 1

LCM(20,197,559) = ( 20 × 197 × 559 ) / 1

LCM(20,197,559) = 2202460 / 1

LCM(20,197,559) = 2202460


Lets's calculate GCF of 308,240,178

2 308, 240, 178
154, 120, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2202460/2

Therefore the LCM of Fractions 20/308,197/240,559/178 is 1101230

Greatest Common Factor of 308,240,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,240,178 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 308,240,178 . The biggest common factor number is the GCF number.
So the greatest common factor 308,240,178 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 20/308, 197/240, 559/178

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 20/308, 197/240, 559/178?

Answer: LCM of Numerators as per given numbers 20/308, 197/240, 559/178 is

LCM of Numerators i.e. for 20,197,559 is 2202460

GCF of denominators i.e. for 308,240,178 is 2.

Thus, LCM of Fractions is 1101230.Finally, LCM of Fractions for 20/308, 197/240, 559/178 is 1101230.