Least Common Multiple of 45/483, 61/509, 477/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/483, 61/509, 477/537 quickly i.e. 145485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/483, 61/509, 477/537 is 145485.

LCM(45/483, 61/509, 477/537) = 145485

LCM of 45/483, 61/509, 477/537

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 45/483,61/509,477/537

Given numbers are 45/483,61/509,477/537

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 45,61,477

Least Common Multiple of Numerators i.e. LCM of 45,61,477 is 145485.

GCF of Denominators means GCF of 483,509,537 as per the given fractions.

GCF of 483,509,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,61,477

LCM of Fractions 45/483,61/509,477/537 is 145485

3 45, 61, 477
3 15, 61, 159
5, 61, 53

∴ So the LCM of the given numbers is 3 x 3 x 5 x 61 x 53 = 145485

Least Common Multiple of 45,61,477 with GCF Formula

Least Common Multiple of 45,61,477 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 45,61,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,61,477) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(45,61,477) x common factors =1 x 9 = 9

LCM(45,61,477) = ( 45 × 61 × 477 ) / 9

LCM(45,61,477) = 1309365 / 9

LCM(45,61,477) = 145485


Lets's calculate GCF of 483,509,537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145485/1

Therefore the LCM of Fractions 45/483,61/509,477/537 is 145485

Greatest Common Factor of 483,509,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,509,537 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 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 483,509,537 . The biggest common factor number is the GCF number.
So the greatest common factor 483,509,537 is 1.


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 45/483, 61/509, 477/537

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 45/483, 61/509, 477/537?

Answer: LCM of Numerators as per given numbers 45/483, 61/509, 477/537 is

LCM of Numerators i.e. for 45,61,477 is 145485

GCF of denominators i.e. for 483,509,537 is 1.

Thus, LCM of Fractions is 145485.Finally, LCM of Fractions for 45/483, 61/509, 477/537 is 145485.