Least Common Multiple of 746/389, 750/663, 514/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/389, 750/663, 514/859 quickly i.e. 71895750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/389, 750/663, 514/859 is 71895750.

LCM(746/389, 750/663, 514/859) = 71895750

LCM of 746/389, 750/663, 514/859

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 746/389,750/663,514/859

Given numbers are 746/389,750/663,514/859

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 746,750,514

Least Common Multiple of Numerators i.e. LCM of 746,750,514 is 71895750.

GCF of Denominators means GCF of 389,663,859 as per the given fractions.

GCF of 389,663,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,750,514

LCM of Fractions 746/389,750/663,514/859 is 71895750

2 746, 750, 514
373, 375, 257

∴ So the LCM of the given numbers is 2 x 373 x 375 x 257 = 71895750

Least Common Multiple of 746,750,514 with GCF Formula

Least Common Multiple of 746,750,514 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 746,750,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,750,514) = 2

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

GCF(746,750,514) x common factors =2 x 2 = 4

LCM(746,750,514) = ( 746 × 750 × 514 ) / 4

LCM(746,750,514) = 287583000 / 4

LCM(746,750,514) = 71895750


Lets's calculate GCF of 389,663,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71895750/1

Therefore the LCM of Fractions 746/389,750/663,514/859 is 71895750

Greatest Common Factor of 389,663,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,663,859 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 389,663,859 . The biggest common factor number is the GCF number.
So the greatest common factor 389,663,859 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 746/389, 750/663, 514/859

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 746/389, 750/663, 514/859?

Answer: LCM of Numerators as per given numbers 746/389, 750/663, 514/859 is

LCM of Numerators i.e. for 746,750,514 is 71895750

GCF of denominators i.e. for 389,663,859 is 1.

Thus, LCM of Fractions is 71895750.Finally, LCM of Fractions for 746/389, 750/663, 514/859 is 71895750.