Least Common Multiple of 85/778, 80/514, 393/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/778, 80/514, 393/928 quickly i.e. 267240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/778, 80/514, 393/928 is 267240.

LCM(85/778, 80/514, 393/928) = 267240

LCM of 85/778, 80/514, 393/928

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 85/778,80/514,393/928

Given numbers are 85/778,80/514,393/928

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 85,80,393

Least Common Multiple of Numerators i.e. LCM of 85,80,393 is 534480.

GCF of Denominators means GCF of 778,514,928 as per the given fractions.

GCF of 778,514,928 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,80,393

LCM of Fractions 85/778,80/514,393/928 is 267240

5 85, 80, 393
17, 16, 393

∴ So the LCM of the given numbers is 5 x 17 x 16 x 393 = 534480

Least Common Multiple of 85,80,393 with GCF Formula

Least Common Multiple of 85,80,393 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 85,80,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,80,393) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,80,393) x common factors =1 x 5 = 5

LCM(85,80,393) = ( 85 × 80 × 393 ) / 5

LCM(85,80,393) = 2672400 / 5

LCM(85,80,393) = 534480


Lets's calculate GCF of 778,514,928

2 778, 514, 928
389, 257, 464

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 534480/2

Therefore the LCM of Fractions 85/778,80/514,393/928 is 267240

Greatest Common Factor of 778,514,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,514,928 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 778,514,928 . The biggest common factor number is the GCF number.
So the greatest common factor 778,514,928 is 2.


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 85/778, 80/514, 393/928

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 85/778, 80/514, 393/928?

Answer: LCM of Numerators as per given numbers 85/778, 80/514, 393/928 is

LCM of Numerators i.e. for 85,80,393 is 534480

GCF of denominators i.e. for 778,514,928 is 2.

Thus, LCM of Fractions is 267240.Finally, LCM of Fractions for 85/778, 80/514, 393/928 is 267240.