Least Common Multiple of 178/60, 440/27, 661/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 178/60, 440/27, 661/415 quickly i.e. 25884760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 178/60, 440/27, 661/415 is 25884760.

LCM(178/60, 440/27, 661/415) = 25884760

LCM of 178/60, 440/27, 661/415

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 178/60,440/27,661/415

Given numbers are 178/60,440/27,661/415

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 178,440,661

Least Common Multiple of Numerators i.e. LCM of 178,440,661 is 25884760.

GCF of Denominators means GCF of 60,27,415 as per the given fractions.

GCF of 60,27,415 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 178,440,661

LCM of Fractions 178/60,440/27,661/415 is 25884760

2 178, 440, 661
89, 220, 661

∴ So the LCM of the given numbers is 2 x 89 x 220 x 661 = 25884760

Least Common Multiple of 178,440,661 with GCF Formula

Least Common Multiple of 178,440,661 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 178,440,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,440,661) = 1

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

GCF(178,440,661) x common factors =1 x 2 = 2

LCM(178,440,661) = ( 178 × 440 × 661 ) / 2

LCM(178,440,661) = 51769520 / 2

LCM(178,440,661) = 25884760


Lets's calculate GCF of 60,27,415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25884760/1

Therefore the LCM of Fractions 178/60,440/27,661/415 is 25884760

Greatest Common Factor of 60,27,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,27,415 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 60,27,415 . The biggest common factor number is the GCF number.
So the greatest common factor 60,27,415 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 178/60, 440/27, 661/415

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 178/60, 440/27, 661/415?

Answer: LCM of Numerators as per given numbers 178/60, 440/27, 661/415 is

LCM of Numerators i.e. for 178,440,661 is 25884760

GCF of denominators i.e. for 60,27,415 is 1.

Thus, LCM of Fractions is 25884760.Finally, LCM of Fractions for 178/60, 440/27, 661/415 is 25884760.