Least Common Multiple of 825/591, 848/845, 687/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 825/591, 848/845, 687/399 quickly i.e. 160208400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/591, 848/845, 687/399 is 160208400.

LCM(825/591, 848/845, 687/399) = 160208400

LCM of 825/591, 848/845, 687/399

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 825/591,848/845,687/399

Given numbers are 825/591,848/845,687/399

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 825,848,687

Least Common Multiple of Numerators i.e. LCM of 825,848,687 is 160208400.

GCF of Denominators means GCF of 591,845,399 as per the given fractions.

GCF of 591,845,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,848,687

LCM of Fractions 825/591,848/845,687/399 is 160208400

3 825, 848, 687
275, 848, 229

∴ So the LCM of the given numbers is 3 x 275 x 848 x 229 = 160208400

Least Common Multiple of 825,848,687 with GCF Formula

Least Common Multiple of 825,848,687 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 825,848,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,848,687) = 1

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

GCF(825,848,687) x common factors =1 x 3 = 3

LCM(825,848,687) = ( 825 × 848 × 687 ) / 3

LCM(825,848,687) = 480625200 / 3

LCM(825,848,687) = 160208400


Lets's calculate GCF of 591,845,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160208400/1

Therefore the LCM of Fractions 825/591,848/845,687/399 is 160208400

Greatest Common Factor of 591,845,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,845,399 By Matching Biggest Common Factor Method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 591,845,399 . The biggest common factor number is the GCF number.
So the greatest common factor 591,845,399 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 825/591, 848/845, 687/399

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 825/591, 848/845, 687/399?

Answer: LCM of Numerators as per given numbers 825/591, 848/845, 687/399 is

LCM of Numerators i.e. for 825,848,687 is 160208400

GCF of denominators i.e. for 591,845,399 is 1.

Thus, LCM of Fractions is 160208400.Finally, LCM of Fractions for 825/591, 848/845, 687/399 is 160208400.