Least Common Multiple of 319/416, 689/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/416, 689/777 quickly i.e. 219791 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/416, 689/777 is 219791.

LCM(319/416, 689/777) = 219791

LCM of 319/416, 689/777

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 319/416,689/777

Given numbers are 319/416,689/777

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 319,689

Least Common Multiple of Numerators i.e. LCM of 319,689 is 219791.

GCF of Denominators means GCF of 416,777 as per the given fractions.

GCF of 416,777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,689

LCM of Fractions 319/416,689/777 is 219791

Given numbers has no common factors except 1. So, there LCM is their product i.e 219791

Least Common Multiple of 319,689 with GCF Formula

Least Common Multiple of 319,689 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 319,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,689) = 1

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

GCF(319,689) x common factors =1 x 1 = 1

LCM(319,689) = ( 319 × 689 ) / 1

LCM(319,689) = 219791 / 1

LCM(319,689) = 219791


Lets's calculate GCF of 416,777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219791/1

Therefore the LCM of Fractions 319/416,689/777 is 219791

Greatest Common Factor of 416,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,777 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 416,777 . The biggest common factor number is the GCF number.
So the greatest common factor 416,777 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 319/416, 689/777

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 319/416, 689/777?

Answer: LCM of Numerators as per given numbers 319/416, 689/777 is

LCM of Numerators i.e. for 319,689 is 219791

GCF of denominators i.e. for 416,777 is 1.

Thus, LCM of Fractions is 219791.Finally, LCM of Fractions for 319/416, 689/777 is 219791.