Least Common Multiple of 657/485, 635/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 657/485, 635/830 quickly i.e. 83439 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 657/485, 635/830 is 83439.

LCM(657/485, 635/830) = 83439

LCM of 657/485, 635/830

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 657/485,635/830

Given numbers are 657/485,635/830

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 657,635

Least Common Multiple of Numerators i.e. LCM of 657,635 is 417195.

GCF of Denominators means GCF of 485,830 as per the given fractions.

GCF of 485,830 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 657,635

LCM of Fractions 657/485,635/830 is 83439

Given numbers has no common factors except 1. So, there LCM is their product i.e 417195

Least Common Multiple of 657,635 with GCF Formula

Least Common Multiple of 657,635 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 657,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,635) = 1

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

GCF(657,635) x common factors =1 x 1 = 1

LCM(657,635) = ( 657 × 635 ) / 1

LCM(657,635) = 417195 / 1

LCM(657,635) = 417195


Lets's calculate GCF of 485,830

5 485, 830
97, 166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 417195/5

Therefore the LCM of Fractions 657/485,635/830 is 83439

Greatest Common Factor of 485,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,830 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 485,830 . The biggest common factor number is the GCF number.
So the greatest common factor 485,830 is 5.


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 657/485, 635/830

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 657/485, 635/830?

Answer: LCM of Numerators as per given numbers 657/485, 635/830 is

LCM of Numerators i.e. for 657,635 is 417195

GCF of denominators i.e. for 485,830 is 5.

Thus, LCM of Fractions is 83439.Finally, LCM of Fractions for 657/485, 635/830 is 83439.