Least Common Multiple of 160/66, 394/87, 678/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 160/66, 394/87, 678/471 quickly i.e. 3561760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 160/66, 394/87, 678/471 is 3561760.

LCM(160/66, 394/87, 678/471) = 3561760

LCM of 160/66, 394/87, 678/471

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 160/66,394/87,678/471

Given numbers are 160/66,394/87,678/471

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 160,394,678

Least Common Multiple of Numerators i.e. LCM of 160,394,678 is 10685280.

GCF of Denominators means GCF of 66,87,471 as per the given fractions.

GCF of 66,87,471 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 160,394,678

LCM of Fractions 160/66,394/87,678/471 is 3561760

2 160, 394, 678
80, 197, 339

∴ So the LCM of the given numbers is 2 x 80 x 197 x 339 = 10685280

Least Common Multiple of 160,394,678 with GCF Formula

Least Common Multiple of 160,394,678 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 160,394,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,394,678) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(160,394,678) x common factors =2 x 2 = 4

LCM(160,394,678) = ( 160 × 394 × 678 ) / 4

LCM(160,394,678) = 42741120 / 4

LCM(160,394,678) = 10685280


Lets's calculate GCF of 66,87,471

3 66, 87, 471
22, 29, 157

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10685280/3

Therefore the LCM of Fractions 160/66,394/87,678/471 is 3561760

Greatest Common Factor of 66,87,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,87,471 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 66,87,471 . The biggest common factor number is the GCF number.
So the greatest common factor 66,87,471 is 3.


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 160/66, 394/87, 678/471

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 160/66, 394/87, 678/471?

Answer: LCM of Numerators as per given numbers 160/66, 394/87, 678/471 is

LCM of Numerators i.e. for 160,394,678 is 10685280

GCF of denominators i.e. for 66,87,471 is 3.

Thus, LCM of Fractions is 3561760.Finally, LCM of Fractions for 160/66, 394/87, 678/471 is 3561760.