Least Common Multiple of 85/493, 39/101, 777/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/493, 39/101, 777/916 quickly i.e. 858585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/493, 39/101, 777/916 is 858585.

LCM(85/493, 39/101, 777/916) = 858585

LCM of 85/493, 39/101, 777/916

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 85/493,39/101,777/916

Given numbers are 85/493,39/101,777/916

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 85,39,777

Least Common Multiple of Numerators i.e. LCM of 85,39,777 is 858585.

GCF of Denominators means GCF of 493,101,916 as per the given fractions.

GCF of 493,101,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,39,777

LCM of Fractions 85/493,39/101,777/916 is 858585

3 85, 39, 777
85, 13, 259

∴ So the LCM of the given numbers is 3 x 85 x 13 x 259 = 858585

Least Common Multiple of 85,39,777 with GCF Formula

Least Common Multiple of 85,39,777 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 85,39,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,39,777) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(85,39,777) x common factors =1 x 3 = 3

LCM(85,39,777) = ( 85 × 39 × 777 ) / 3

LCM(85,39,777) = 2575755 / 3

LCM(85,39,777) = 858585


Lets's calculate GCF of 493,101,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 858585/1

Therefore the LCM of Fractions 85/493,39/101,777/916 is 858585

Greatest Common Factor of 493,101,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,101,916 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 493,101,916 . The biggest common factor number is the GCF number.
So the greatest common factor 493,101,916 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 85/493, 39/101, 777/916

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 85/493, 39/101, 777/916?

Answer: LCM of Numerators as per given numbers 85/493, 39/101, 777/916 is

LCM of Numerators i.e. for 85,39,777 is 858585

GCF of denominators i.e. for 493,101,916 is 1.

Thus, LCM of Fractions is 858585.Finally, LCM of Fractions for 85/493, 39/101, 777/916 is 858585.