Least Common Multiple of 497/176, 775/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 497/176, 775/206 quickly i.e. 385175/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 497/176, 775/206 is 385175/2.

LCM(497/176, 775/206) = 385175/2

LCM of 497/176, 775/206

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 497/176,775/206

Given numbers are 497/176,775/206

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 497,775

Least Common Multiple of Numerators i.e. LCM of 497,775 is 385175.

GCF of Denominators means GCF of 176,206 as per the given fractions.

GCF of 176,206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 497,775

LCM of Fractions 497/176,775/206 is 385175/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 385175

Least Common Multiple of 497,775 with GCF Formula

Least Common Multiple of 497,775 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 497,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,775) = 1

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

GCF(497,775) x common factors =1 x 1 = 1

LCM(497,775) = ( 497 × 775 ) / 1

LCM(497,775) = 385175 / 1

LCM(497,775) = 385175


Lets's calculate GCF of 176,206

2 176, 206
88, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385175/2

Therefore the LCM of Fractions 497/176,775/206 is 385175/2

Greatest Common Factor of 176,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,206 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 176,206 . The biggest common factor number is the GCF number.
So the greatest common factor 176,206 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 497/176, 775/206

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 497/176, 775/206?

Answer: LCM of Numerators as per given numbers 497/176, 775/206 is

LCM of Numerators i.e. for 497,775 is 385175

GCF of denominators i.e. for 176,206 is 2.

Thus, LCM of Fractions is 385175/2.Finally, LCM of Fractions for 497/176, 775/206 is 385175/2.