Least Common Multiple of 125/66, 377/37, 192/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 125/66, 377/37, 192/900 quickly i.e. 9048000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 125/66, 377/37, 192/900 is 9048000.

LCM(125/66, 377/37, 192/900) = 9048000

LCM of 125/66, 377/37, 192/900

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 125/66,377/37,192/900

Given numbers are 125/66,377/37,192/900

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 125,377,192

Least Common Multiple of Numerators i.e. LCM of 125,377,192 is 9048000.

GCF of Denominators means GCF of 66,37,900 as per the given fractions.

GCF of 66,37,900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 125,377,192

LCM of Fractions 125/66,377/37,192/900 is 9048000

Given numbers has no common factors except 1. So, there LCM is their product i.e 9048000

Least Common Multiple of 125,377,192 with GCF Formula

Least Common Multiple of 125,377,192 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 125,377,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(125,377,192) = 1

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

GCF(125,377,192) x common factors =1 x 1 = 1

LCM(125,377,192) = ( 125 × 377 × 192 ) / 1

LCM(125,377,192) = 9048000 / 1

LCM(125,377,192) = 9048000


Lets's calculate GCF of 66,37,900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9048000/1

Therefore the LCM of Fractions 125/66,377/37,192/900 is 9048000

Greatest Common Factor of 66,37,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,37,900 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 66,37,900 . The biggest common factor number is the GCF number.
So the greatest common factor 66,37,900 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 125/66, 377/37, 192/900

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 125/66, 377/37, 192/900?

Answer: LCM of Numerators as per given numbers 125/66, 377/37, 192/900 is

LCM of Numerators i.e. for 125,377,192 is 9048000

GCF of denominators i.e. for 66,37,900 is 1.

Thus, LCM of Fractions is 9048000.Finally, LCM of Fractions for 125/66, 377/37, 192/900 is 9048000.