Least Common Multiple of 685/57, 451/2275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 685/57, 451/2275 quickly i.e. 308935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/57, 451/2275 is 308935.

LCM(685/57, 451/2275) = 308935

LCM of 685/57, 451/2275

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 685/57,451/2275

Given numbers are 685/57,451/2275

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 685,451

Least Common Multiple of Numerators i.e. LCM of 685,451 is 308935.

GCF of Denominators means GCF of 57,2275 as per the given fractions.

GCF of 57,2275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,451

LCM of Fractions 685/57,451/2275 is 308935

Given numbers has no common factors except 1. So, there LCM is their product i.e 308935

Least Common Multiple of 685,451 with GCF Formula

Least Common Multiple of 685,451 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 685,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,451) = 1

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

GCF(685,451) x common factors =1 x 1 = 1

LCM(685,451) = ( 685 × 451 ) / 1

LCM(685,451) = 308935 / 1

LCM(685,451) = 308935


Lets's calculate GCF of 57,2275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308935/1

Therefore the LCM of Fractions 685/57,451/2275 is 308935

Greatest Common Factor of 57,2275 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,2275 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 2275

List of positive integer factors of 2275 that divides 2275 without a remainder.

1,5,7,13,25,35,65,91,175,325,455,2275

Greatest Common Factor

We found the factors 57,2275 . The biggest common factor number is the GCF number.
So the greatest common factor 57,2275 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 685/57, 451/2275

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 685/57, 451/2275?

Answer: LCM of Numerators as per given numbers 685/57, 451/2275 is

LCM of Numerators i.e. for 685,451 is 308935

GCF of denominators i.e. for 57,2275 is 1.

Thus, LCM of Fractions is 308935.Finally, LCM of Fractions for 685/57, 451/2275 is 308935.