Least Common Multiple of 785/275, 2473/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 785/275, 2473/820 quickly i.e. 388261 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 785/275, 2473/820 is 388261.

LCM(785/275, 2473/820) = 388261

LCM of 785/275, 2473/820

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 785/275,2473/820

Given numbers are 785/275,2473/820

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 785,2473

Least Common Multiple of Numerators i.e. LCM of 785,2473 is 1941305.

GCF of Denominators means GCF of 275,820 as per the given fractions.

GCF of 275,820 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 785,2473

LCM of Fractions 785/275,2473/820 is 388261

Given numbers has no common factors except 1. So, there LCM is their product i.e 1941305

Least Common Multiple of 785,2473 with GCF Formula

Least Common Multiple of 785,2473 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 785,2473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,2473) = 1

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

GCF(785,2473) x common factors =1 x 1 = 1

LCM(785,2473) = ( 785 × 2473 ) / 1

LCM(785,2473) = 1941305 / 1

LCM(785,2473) = 1941305


Lets's calculate GCF of 275,820

5 275, 820
55, 164

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1941305/5

Therefore the LCM of Fractions 785/275,2473/820 is 388261

Greatest Common Factor of 275,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,820 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 275,820 . The biggest common factor number is the GCF number.
So the greatest common factor 275,820 is 5.


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 785/275, 2473/820

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 785/275, 2473/820?

Answer: LCM of Numerators as per given numbers 785/275, 2473/820 is

LCM of Numerators i.e. for 785,2473 is 1941305

GCF of denominators i.e. for 275,820 is 5.

Thus, LCM of Fractions is 388261.Finally, LCM of Fractions for 785/275, 2473/820 is 388261.