Least Common Multiple of 857/59, 240/4335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 857/59, 240/4335 quickly i.e. 205680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 857/59, 240/4335 is 205680.

LCM(857/59, 240/4335) = 205680

LCM of 857/59, 240/4335

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 857/59,240/4335

Given numbers are 857/59,240/4335

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 857,240

Least Common Multiple of Numerators i.e. LCM of 857,240 is 205680.

GCF of Denominators means GCF of 59,4335 as per the given fractions.

GCF of 59,4335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 857,240

LCM of Fractions 857/59,240/4335 is 205680

Given numbers has no common factors except 1. So, there LCM is their product i.e 205680

Least Common Multiple of 857,240 with GCF Formula

Least Common Multiple of 857,240 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 857,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,240) = 1

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

GCF(857,240) x common factors =1 x 1 = 1

LCM(857,240) = ( 857 × 240 ) / 1

LCM(857,240) = 205680 / 1

LCM(857,240) = 205680


Lets's calculate GCF of 59,4335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205680/1

Therefore the LCM of Fractions 857/59,240/4335 is 205680

Greatest Common Factor of 59,4335 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,4335 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 4335

List of positive integer factors of 4335 that divides 4335 without a remainder.

1,3,5,15,17,51,85,255,289,867,1445,4335

Greatest Common Factor

We found the factors 59,4335 . The biggest common factor number is the GCF number.
So the greatest common factor 59,4335 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 857/59, 240/4335

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 857/59, 240/4335?

Answer: LCM of Numerators as per given numbers 857/59, 240/4335 is

LCM of Numerators i.e. for 857,240 is 205680

GCF of denominators i.e. for 59,4335 is 1.

Thus, LCM of Fractions is 205680.Finally, LCM of Fractions for 857/59, 240/4335 is 205680.