Least Common Multiple of 85/125, 577/138, 333/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/125, 577/138, 333/664 quickly i.e. 16331985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/125, 577/138, 333/664 is 16331985.

LCM(85/125, 577/138, 333/664) = 16331985

LCM of 85/125, 577/138, 333/664

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 85/125,577/138,333/664

Given numbers are 85/125,577/138,333/664

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 85,577,333

Least Common Multiple of Numerators i.e. LCM of 85,577,333 is 16331985.

GCF of Denominators means GCF of 125,138,664 as per the given fractions.

GCF of 125,138,664 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,577,333

LCM of Fractions 85/125,577/138,333/664 is 16331985

Given numbers has no common factors except 1. So, there LCM is their product i.e 16331985

Least Common Multiple of 85,577,333 with GCF Formula

Least Common Multiple of 85,577,333 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 85,577,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,577,333) = 1

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

GCF(85,577,333) x common factors =1 x 1 = 1

LCM(85,577,333) = ( 85 × 577 × 333 ) / 1

LCM(85,577,333) = 16331985 / 1

LCM(85,577,333) = 16331985


Lets's calculate GCF of 125,138,664

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16331985/1

Therefore the LCM of Fractions 85/125,577/138,333/664 is 16331985

Greatest Common Factor of 125,138,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,138,664 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 125,138,664 . The biggest common factor number is the GCF number.
So the greatest common factor 125,138,664 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 85/125, 577/138, 333/664

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 85/125, 577/138, 333/664?

Answer: LCM of Numerators as per given numbers 85/125, 577/138, 333/664 is

LCM of Numerators i.e. for 85,577,333 is 16331985

GCF of denominators i.e. for 125,138,664 is 1.

Thus, LCM of Fractions is 16331985.Finally, LCM of Fractions for 85/125, 577/138, 333/664 is 16331985.