Least Common Multiple of 61/187, 23/180, 800/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/187, 23/180, 800/448 quickly i.e. 1122400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/187, 23/180, 800/448 is 1122400.

LCM(61/187, 23/180, 800/448) = 1122400

LCM of 61/187, 23/180, 800/448

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 61/187,23/180,800/448

Given numbers are 61/187,23/180,800/448

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 61,23,800

Least Common Multiple of Numerators i.e. LCM of 61,23,800 is 1122400.

GCF of Denominators means GCF of 187,180,448 as per the given fractions.

GCF of 187,180,448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,23,800

LCM of Fractions 61/187,23/180,800/448 is 1122400

Given numbers has no common factors except 1. So, there LCM is their product i.e 1122400

Least Common Multiple of 61,23,800 with GCF Formula

Least Common Multiple of 61,23,800 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 61,23,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,23,800) = 1

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

GCF(61,23,800) x common factors =1 x 1 = 1

LCM(61,23,800) = ( 61 × 23 × 800 ) / 1

LCM(61,23,800) = 1122400 / 1

LCM(61,23,800) = 1122400


Lets's calculate GCF of 187,180,448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1122400/1

Therefore the LCM of Fractions 61/187,23/180,800/448 is 1122400

Greatest Common Factor of 187,180,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,180,448 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 187,180,448 . The biggest common factor number is the GCF number.
So the greatest common factor 187,180,448 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 61/187, 23/180, 800/448

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 61/187, 23/180, 800/448?

Answer: LCM of Numerators as per given numbers 61/187, 23/180, 800/448 is

LCM of Numerators i.e. for 61,23,800 is 1122400

GCF of denominators i.e. for 187,180,448 is 1.

Thus, LCM of Fractions is 1122400.Finally, LCM of Fractions for 61/187, 23/180, 800/448 is 1122400.