Least Common Multiple of 40/55, 47/178, 871/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/55, 47/178, 871/103 quickly i.e. 1637480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/55, 47/178, 871/103 is 1637480.

LCM(40/55, 47/178, 871/103) = 1637480

LCM of 40/55, 47/178, 871/103

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 40/55,47/178,871/103

Given numbers are 40/55,47/178,871/103

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 40,47,871

Least Common Multiple of Numerators i.e. LCM of 40,47,871 is 1637480.

GCF of Denominators means GCF of 55,178,103 as per the given fractions.

GCF of 55,178,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,47,871

LCM of Fractions 40/55,47/178,871/103 is 1637480

Given numbers has no common factors except 1. So, there LCM is their product i.e 1637480

Least Common Multiple of 40,47,871 with GCF Formula

Least Common Multiple of 40,47,871 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 40,47,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,47,871) = 1

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

GCF(40,47,871) x common factors =1 x 1 = 1

LCM(40,47,871) = ( 40 × 47 × 871 ) / 1

LCM(40,47,871) = 1637480 / 1

LCM(40,47,871) = 1637480


Lets's calculate GCF of 55,178,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1637480/1

Therefore the LCM of Fractions 40/55,47/178,871/103 is 1637480

Greatest Common Factor of 55,178,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,178,103 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 55,178,103 . The biggest common factor number is the GCF number.
So the greatest common factor 55,178,103 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 40/55, 47/178, 871/103

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 40/55, 47/178, 871/103?

Answer: LCM of Numerators as per given numbers 40/55, 47/178, 871/103 is

LCM of Numerators i.e. for 40,47,871 is 1637480

GCF of denominators i.e. for 55,178,103 is 1.

Thus, LCM of Fractions is 1637480.Finally, LCM of Fractions for 40/55, 47/178, 871/103 is 1637480.