Least Common Multiple of 226/85, 245/4777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 226/85, 245/4777 quickly i.e. 55370/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 226/85, 245/4777 is 55370/17.

LCM(226/85, 245/4777) = 55370/17

LCM of 226/85, 245/4777

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 226/85,245/4777

Given numbers are 226/85,245/4777

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 226,245

Least Common Multiple of Numerators i.e. LCM of 226,245 is 55370.

GCF of Denominators means GCF of 85,4777 as per the given fractions.

GCF of 85,4777 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 226,245

LCM of Fractions 226/85,245/4777 is 55370/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 55370

Least Common Multiple of 226,245 with GCF Formula

Least Common Multiple of 226,245 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 226,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,245) = 1

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

GCF(226,245) x common factors =1 x 1 = 1

LCM(226,245) = ( 226 × 245 ) / 1

LCM(226,245) = 55370 / 1

LCM(226,245) = 55370


Lets's calculate GCF of 85,4777

17 85, 4777
5, 281

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55370/17

Therefore the LCM of Fractions 226/85,245/4777 is 55370/17

Greatest Common Factor of 85,4777 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,4777 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 4777

List of positive integer factors of 4777 that divides 4777 without a remainder.

1,17,281,4777

Greatest Common Factor

We found the factors 85,4777 . The biggest common factor number is the GCF number.
So the greatest common factor 85,4777 is 17.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 226/85, 245/4777

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 226/85, 245/4777?

Answer: LCM of Numerators as per given numbers 226/85, 245/4777 is

LCM of Numerators i.e. for 226,245 is 55370

GCF of denominators i.e. for 85,4777 is 17.

Thus, LCM of Fractions is 55370/17.Finally, LCM of Fractions for 226/85, 245/4777 is 55370/17.