Least Common Multiple of 659/312, 477/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 659/312, 477/832 quickly i.e. 314343/104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 659/312, 477/832 is 314343/104.

LCM(659/312, 477/832) = 314343/104

LCM of 659/312, 477/832

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 659/312,477/832

Given numbers are 659/312,477/832

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 659,477

Least Common Multiple of Numerators i.e. LCM of 659,477 is 314343.

GCF of Denominators means GCF of 312,832 as per the given fractions.

GCF of 312,832 is 104 as it is the largest common factor for these numbers.

Lets's calculate LCM of 659,477

LCM of Fractions 659/312,477/832 is 314343/104

Given numbers has no common factors except 1. So, there LCM is their product i.e 314343

Least Common Multiple of 659,477 with GCF Formula

Least Common Multiple of 659,477 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 659,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,477) = 1

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

GCF(659,477) x common factors =1 x 1 = 1

LCM(659,477) = ( 659 × 477 ) / 1

LCM(659,477) = 314343 / 1

LCM(659,477) = 314343


Lets's calculate GCF of 312,832

2 312, 832
2 156, 416
2 78, 208
13 39, 104
3, 8

∴ So the GCF of the given numbers is 2 x 2 x 2 x 13 = 104

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314343/104

Therefore the LCM of Fractions 659/312,477/832 is 314343/104

Greatest Common Factor of 312,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,832 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 312,832 . The biggest common factor number is the GCF number.
So the greatest common factor 312,832 is 104.


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 659/312, 477/832

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 659/312, 477/832?

Answer: LCM of Numerators as per given numbers 659/312, 477/832 is

LCM of Numerators i.e. for 659,477 is 314343

GCF of denominators i.e. for 312,832 is 104.

Thus, LCM of Fractions is 314343/104.Finally, LCM of Fractions for 659/312, 477/832 is 314343/104.