Least Common Multiple of 467/319, 787/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 467/319, 787/690 quickly i.e. 367529 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 467/319, 787/690 is 367529.

LCM(467/319, 787/690) = 367529

LCM of 467/319, 787/690

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 467/319,787/690

Given numbers are 467/319,787/690

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 467,787

Least Common Multiple of Numerators i.e. LCM of 467,787 is 367529.

GCF of Denominators means GCF of 319,690 as per the given fractions.

GCF of 319,690 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 467,787

LCM of Fractions 467/319,787/690 is 367529

Given numbers has no common factors except 1. So, there LCM is their product i.e 367529

Least Common Multiple of 467,787 with GCF Formula

Least Common Multiple of 467,787 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 467,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,787) = 1

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

GCF(467,787) x common factors =1 x 1 = 1

LCM(467,787) = ( 467 × 787 ) / 1

LCM(467,787) = 367529 / 1

LCM(467,787) = 367529


Lets's calculate GCF of 319,690

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367529/1

Therefore the LCM of Fractions 467/319,787/690 is 367529

Greatest Common Factor of 319,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,690 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

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 319,690 . The biggest common factor number is the GCF number.
So the greatest common factor 319,690 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 467/319, 787/690

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 467/319, 787/690?

Answer: LCM of Numerators as per given numbers 467/319, 787/690 is

LCM of Numerators i.e. for 467,787 is 367529

GCF of denominators i.e. for 319,690 is 1.

Thus, LCM of Fractions is 367529.Finally, LCM of Fractions for 467/319, 787/690 is 367529.