Least Common Multiple of 828/160, 173/940, 274/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/160, 173/940, 274/800 quickly i.e. 19624428/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/160, 173/940, 274/800 is 19624428/20.

LCM(828/160, 173/940, 274/800) = 19624428/20

LCM of 828/160, 173/940, 274/800

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 828/160,173/940,274/800

Given numbers are 828/160,173/940,274/800

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 828,173,274

Least Common Multiple of Numerators i.e. LCM of 828,173,274 is 19624428.

GCF of Denominators means GCF of 160,940,800 as per the given fractions.

GCF of 160,940,800 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,173,274

LCM of Fractions 828/160,173/940,274/800 is 19624428/20

2 828, 173, 274
414, 173, 137

∴ So the LCM of the given numbers is 2 x 414 x 173 x 137 = 19624428

Least Common Multiple of 828,173,274 with GCF Formula

Least Common Multiple of 828,173,274 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 828,173,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,173,274) = 1

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

GCF(828,173,274) x common factors =1 x 2 = 2

LCM(828,173,274) = ( 828 × 173 × 274 ) / 2

LCM(828,173,274) = 39248856 / 2

LCM(828,173,274) = 19624428


Lets's calculate GCF of 160,940,800

2 160, 940, 800
2 80, 470, 400
5 40, 235, 200
8, 47, 40

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19624428/20

Therefore the LCM of Fractions 828/160,173/940,274/800 is 19624428/20

Greatest Common Factor of 160,940,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,940,800 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 160,940,800 . The biggest common factor number is the GCF number.
So the greatest common factor 160,940,800 is 20.


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 828/160, 173/940, 274/800

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 828/160, 173/940, 274/800?

Answer: LCM of Numerators as per given numbers 828/160, 173/940, 274/800 is

LCM of Numerators i.e. for 828,173,274 is 19624428

GCF of denominators i.e. for 160,940,800 is 20.

Thus, LCM of Fractions is 19624428/20.Finally, LCM of Fractions for 828/160, 173/940, 274/800 is 19624428/20.