Least Common Multiple of 177/800, 2272/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 177/800, 2272/428 quickly i.e. 100536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/800, 2272/428 is 100536.

LCM(177/800, 2272/428) = 100536

LCM of 177/800, 2272/428

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 177/800,2272/428

Given numbers are 177/800,2272/428

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 177,2272

Least Common Multiple of Numerators i.e. LCM of 177,2272 is 402144.

GCF of Denominators means GCF of 800,428 as per the given fractions.

GCF of 800,428 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,2272

LCM of Fractions 177/800,2272/428 is 100536

Given numbers has no common factors except 1. So, there LCM is their product i.e 402144

Least Common Multiple of 177,2272 with GCF Formula

Least Common Multiple of 177,2272 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 177,2272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,2272) = 1

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

GCF(177,2272) x common factors =1 x 1 = 1

LCM(177,2272) = ( 177 × 2272 ) / 1

LCM(177,2272) = 402144 / 1

LCM(177,2272) = 402144


Lets's calculate GCF of 800,428

2 800, 428
2 400, 214
200, 107

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 402144/4

Therefore the LCM of Fractions 177/800,2272/428 is 100536

Greatest Common Factor of 800,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,428 By Matching Biggest Common Factor Method

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

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 800,428 . The biggest common factor number is the GCF number.
So the greatest common factor 800,428 is 4.


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 177/800, 2272/428

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 177/800, 2272/428?

Answer: LCM of Numerators as per given numbers 177/800, 2272/428 is

LCM of Numerators i.e. for 177,2272 is 402144

GCF of denominators i.e. for 800,428 is 4.

Thus, LCM of Fractions is 100536.Finally, LCM of Fractions for 177/800, 2272/428 is 100536.