Least Common Multiple of 245/43, 685/3075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 245/43, 685/3075 quickly i.e. 33565 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 245/43, 685/3075 is 33565.

LCM(245/43, 685/3075) = 33565

LCM of 245/43, 685/3075

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 245/43,685/3075

Given numbers are 245/43,685/3075

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 245,685

Least Common Multiple of Numerators i.e. LCM of 245,685 is 33565.

GCF of Denominators means GCF of 43,3075 as per the given fractions.

GCF of 43,3075 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 245,685

LCM of Fractions 245/43,685/3075 is 33565

5 245, 685
49, 137

∴ So the LCM of the given numbers is 5 x 49 x 137 = 33565

Least Common Multiple of 245,685 with GCF Formula

Least Common Multiple of 245,685 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 245,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,685) = 5

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

GCF(245,685) x common factors =5 x 1 = 5

LCM(245,685) = ( 245 × 685 ) / 5

LCM(245,685) = 167825 / 5

LCM(245,685) = 33565


Lets's calculate GCF of 43,3075

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33565/1

Therefore the LCM of Fractions 245/43,685/3075 is 33565

Greatest Common Factor of 43,3075 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,3075 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 3075

List of positive integer factors of 3075 that divides 3075 without a remainder.

1,3,5,15,25,41,75,123,205,615,1025,3075

Greatest Common Factor

We found the factors 43,3075 . The biggest common factor number is the GCF number.
So the greatest common factor 43,3075 is 1.


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 245/43, 685/3075

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 245/43, 685/3075?

Answer: LCM of Numerators as per given numbers 245/43, 685/3075 is

LCM of Numerators i.e. for 245,685 is 33565

GCF of denominators i.e. for 43,3075 is 1.

Thus, LCM of Fractions is 33565.Finally, LCM of Fractions for 245/43, 685/3075 is 33565.