Least Common Multiple of 427/483, 6405/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/483, 6405/602 quickly i.e. 915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/483, 6405/602 is 915.

LCM(427/483, 6405/602) = 915

LCM of 427/483, 6405/602

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 427/483,6405/602

Given numbers are 427/483,6405/602

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 427,6405

Least Common Multiple of Numerators i.e. LCM of 427,6405 is 6405.

GCF of Denominators means GCF of 483,602 as per the given fractions.

GCF of 483,602 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,6405

LCM of Fractions 427/483,6405/602 is 915

7 427, 6405
61 61, 915
1, 15

∴ So the LCM of the given numbers is 7 x 61 x 1 x 15 = 6405

Least Common Multiple of 427,6405 with GCF Formula

Least Common Multiple of 427,6405 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 427,6405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,6405) = 427

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

GCF(427,6405) x common factors =427 x 1 = 427

LCM(427,6405) = ( 427 × 6405 ) / 427

LCM(427,6405) = 2734935 / 427

LCM(427,6405) = 6405


Lets's calculate GCF of 483,602

7 483, 602
69, 86

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6405/7

Therefore the LCM of Fractions 427/483,6405/602 is 915

Greatest Common Factor of 483,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,602 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 483,602 . The biggest common factor number is the GCF number.
So the greatest common factor 483,602 is 7.


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 427/483, 6405/602

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 427/483, 6405/602?

Answer: LCM of Numerators as per given numbers 427/483, 6405/602 is

LCM of Numerators i.e. for 427,6405 is 6405

GCF of denominators i.e. for 483,602 is 7.

Thus, LCM of Fractions is 915.Finally, LCM of Fractions for 427/483, 6405/602 is 915.