Least Common Multiple of 85/713, 597/788, 467/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/713, 597/788, 467/144 quickly i.e. 23697915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/713, 597/788, 467/144 is 23697915.

LCM(85/713, 597/788, 467/144) = 23697915

LCM of 85/713, 597/788, 467/144

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 85/713,597/788,467/144

Given numbers are 85/713,597/788,467/144

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 85,597,467

Least Common Multiple of Numerators i.e. LCM of 85,597,467 is 23697915.

GCF of Denominators means GCF of 713,788,144 as per the given fractions.

GCF of 713,788,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,597,467

LCM of Fractions 85/713,597/788,467/144 is 23697915

Given numbers has no common factors except 1. So, there LCM is their product i.e 23697915

Least Common Multiple of 85,597,467 with GCF Formula

Least Common Multiple of 85,597,467 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 85,597,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,597,467) = 1

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

GCF(85,597,467) x common factors =1 x 1 = 1

LCM(85,597,467) = ( 85 × 597 × 467 ) / 1

LCM(85,597,467) = 23697915 / 1

LCM(85,597,467) = 23697915


Lets's calculate GCF of 713,788,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23697915/1

Therefore the LCM of Fractions 85/713,597/788,467/144 is 23697915

Greatest Common Factor of 713,788,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,788,144 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 713,788,144 . The biggest common factor number is the GCF number.
So the greatest common factor 713,788,144 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 85/713, 597/788, 467/144

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 85/713, 597/788, 467/144?

Answer: LCM of Numerators as per given numbers 85/713, 597/788, 467/144 is

LCM of Numerators i.e. for 85,597,467 is 23697915

GCF of denominators i.e. for 713,788,144 is 1.

Thus, LCM of Fractions is 23697915.Finally, LCM of Fractions for 85/713, 597/788, 467/144 is 23697915.