Least Common Multiple of 43/945, 28/803, 178/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/945, 28/803, 178/480 quickly i.e. 107156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/945, 28/803, 178/480 is 107156.

LCM(43/945, 28/803, 178/480) = 107156

LCM of 43/945, 28/803, 178/480

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 43/945,28/803,178/480

Given numbers are 43/945,28/803,178/480

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 43,28,178

Least Common Multiple of Numerators i.e. LCM of 43,28,178 is 107156.

GCF of Denominators means GCF of 945,803,480 as per the given fractions.

GCF of 945,803,480 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,28,178

LCM of Fractions 43/945,28/803,178/480 is 107156

2 43, 28, 178
43, 14, 89

∴ So the LCM of the given numbers is 2 x 43 x 14 x 89 = 107156

Least Common Multiple of 43,28,178 with GCF Formula

Least Common Multiple of 43,28,178 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 43,28,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,28,178) = 1

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

GCF(43,28,178) x common factors =1 x 2 = 2

LCM(43,28,178) = ( 43 × 28 × 178 ) / 2

LCM(43,28,178) = 214312 / 2

LCM(43,28,178) = 107156


Lets's calculate GCF of 945,803,480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107156/1

Therefore the LCM of Fractions 43/945,28/803,178/480 is 107156

Greatest Common Factor of 945,803,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,803,480 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 945,803,480 . The biggest common factor number is the GCF number.
So the greatest common factor 945,803,480 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 43/945, 28/803, 178/480

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 43/945, 28/803, 178/480?

Answer: LCM of Numerators as per given numbers 43/945, 28/803, 178/480 is

LCM of Numerators i.e. for 43,28,178 is 107156

GCF of denominators i.e. for 945,803,480 is 1.

Thus, LCM of Fractions is 107156.Finally, LCM of Fractions for 43/945, 28/803, 178/480 is 107156.