Least Common Multiple of 62/288, 83/450, 762/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/288, 83/450, 762/690 quickly i.e. 326771 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/288, 83/450, 762/690 is 326771.

LCM(62/288, 83/450, 762/690) = 326771

LCM of 62/288, 83/450, 762/690

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 62/288,83/450,762/690

Given numbers are 62/288,83/450,762/690

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 62,83,762

Least Common Multiple of Numerators i.e. LCM of 62,83,762 is 1960626.

GCF of Denominators means GCF of 288,450,690 as per the given fractions.

GCF of 288,450,690 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,83,762

LCM of Fractions 62/288,83/450,762/690 is 326771

2 62, 83, 762
31, 83, 381

∴ So the LCM of the given numbers is 2 x 31 x 83 x 381 = 1960626

Least Common Multiple of 62,83,762 with GCF Formula

Least Common Multiple of 62,83,762 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 62,83,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,83,762) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,83,762) x common factors =1 x 2 = 2

LCM(62,83,762) = ( 62 × 83 × 762 ) / 2

LCM(62,83,762) = 3921252 / 2

LCM(62,83,762) = 1960626


Lets's calculate GCF of 288,450,690

2 288, 450, 690
3 144, 225, 345
48, 75, 115

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1960626/6

Therefore the LCM of Fractions 62/288,83/450,762/690 is 326771

Greatest Common Factor of 288,450,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,450,690 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 288,450,690 . The biggest common factor number is the GCF number.
So the greatest common factor 288,450,690 is 6.


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 62/288, 83/450, 762/690

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 62/288, 83/450, 762/690?

Answer: LCM of Numerators as per given numbers 62/288, 83/450, 762/690 is

LCM of Numerators i.e. for 62,83,762 is 1960626

GCF of denominators i.e. for 288,450,690 is 6.

Thus, LCM of Fractions is 326771.Finally, LCM of Fractions for 62/288, 83/450, 762/690 is 326771.