Least Common Multiple of 485/42, 314/1833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 485/42, 314/1833 quickly i.e. 152290/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/42, 314/1833 is 152290/3.

LCM(485/42, 314/1833) = 152290/3

LCM of 485/42, 314/1833

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 485/42,314/1833

Given numbers are 485/42,314/1833

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 485,314

Least Common Multiple of Numerators i.e. LCM of 485,314 is 152290.

GCF of Denominators means GCF of 42,1833 as per the given fractions.

GCF of 42,1833 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,314

LCM of Fractions 485/42,314/1833 is 152290/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 152290

Least Common Multiple of 485,314 with GCF Formula

Least Common Multiple of 485,314 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 485,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,314) = 1

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

GCF(485,314) x common factors =1 x 1 = 1

LCM(485,314) = ( 485 × 314 ) / 1

LCM(485,314) = 152290 / 1

LCM(485,314) = 152290


Lets's calculate GCF of 42,1833

3 42, 1833
14, 611

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152290/3

Therefore the LCM of Fractions 485/42,314/1833 is 152290/3

Greatest Common Factor of 42,1833 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,1833 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 1833

List of positive integer factors of 1833 that divides 1833 without a remainder.

1,3,13,39,47,141,611,1833

Greatest Common Factor

We found the factors 42,1833 . The biggest common factor number is the GCF number.
So the greatest common factor 42,1833 is 3.


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 485/42, 314/1833

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 485/42, 314/1833?

Answer: LCM of Numerators as per given numbers 485/42, 314/1833 is

LCM of Numerators i.e. for 485,314 is 152290

GCF of denominators i.e. for 42,1833 is 3.

Thus, LCM of Fractions is 152290/3.Finally, LCM of Fractions for 485/42, 314/1833 is 152290/3.