Least Common Multiple of 3932/190, 1449/8892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3932/190, 1449/8892 quickly i.e. 5697468/38 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3932/190, 1449/8892 is 5697468/38.

LCM(3932/190, 1449/8892) = 5697468/38

LCM of 3932/190, 1449/8892

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 3932/190,1449/8892

Given numbers are 3932/190,1449/8892

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 3932,1449

Least Common Multiple of Numerators i.e. LCM of 3932,1449 is 5697468.

GCF of Denominators means GCF of 190,8892 as per the given fractions.

GCF of 190,8892 is 38 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3932,1449

LCM of Fractions 3932/190,1449/8892 is 5697468/38

Given numbers has no common factors except 1. So, there LCM is their product i.e 5697468

Least Common Multiple of 3932,1449 with GCF Formula

Least Common Multiple of 3932,1449 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 3932,1449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3932,1449) = 1

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

GCF(3932,1449) x common factors =1 x 1 = 1

LCM(3932,1449) = ( 3932 × 1449 ) / 1

LCM(3932,1449) = 5697468 / 1

LCM(3932,1449) = 5697468


Lets's calculate GCF of 190,8892

2 190, 8892
19 95, 4446
5, 234

∴ So the GCF of the given numbers is 2 x 19 = 38

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5697468/38

Therefore the LCM of Fractions 3932/190,1449/8892 is 5697468/38

Greatest Common Factor of 190,8892 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,8892 By Matching Biggest Common Factor Method

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 8892

List of positive integer factors of 8892 that divides 8892 without a remainder.

1,2,3,4,6,9,12,13,18,19,26,36,38,39,52,57,76,78,114,117,156,171,228,234,247,342,468,494,684,741,988,1482,2223,2964,4446,8892

Greatest Common Factor

We found the factors 190,8892 . The biggest common factor number is the GCF number.
So the greatest common factor 190,8892 is 38.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3932/190, 1449/8892

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 3932/190, 1449/8892?

Answer: LCM of Numerators as per given numbers 3932/190, 1449/8892 is

LCM of Numerators i.e. for 3932,1449 is 5697468

GCF of denominators i.e. for 190,8892 is 38.

Thus, LCM of Fractions is 5697468/38.Finally, LCM of Fractions for 3932/190, 1449/8892 is 5697468/38.