Least Common Multiple of 1944/725, 3708/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1944/725, 3708/332 quickly i.e. 200232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1944/725, 3708/332 is 200232.

LCM(1944/725, 3708/332) = 200232

LCM of 1944/725, 3708/332

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 1944/725,3708/332

Given numbers are 1944/725,3708/332

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 1944,3708

Least Common Multiple of Numerators i.e. LCM of 1944,3708 is 200232.

GCF of Denominators means GCF of 725,332 as per the given fractions.

GCF of 725,332 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1944,3708

LCM of Fractions 1944/725,3708/332 is 200232

2 1944, 3708
2 972, 1854
3 486, 927
3 162, 309
54, 103

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 54 x 103 = 200232

Least Common Multiple of 1944,3708 with GCF Formula

Least Common Multiple of 1944,3708 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 1944,3708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1944,3708) = 36

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

GCF(1944,3708) x common factors =36 x 1 = 36

LCM(1944,3708) = ( 1944 × 3708 ) / 36

LCM(1944,3708) = 7208352 / 36

LCM(1944,3708) = 200232


Lets's calculate GCF of 725,332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200232/1

Therefore the LCM of Fractions 1944/725,3708/332 is 200232

Greatest Common Factor of 725,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,332 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 725,332 . The biggest common factor number is the GCF number.
So the greatest common factor 725,332 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1944/725, 3708/332

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 1944/725, 3708/332?

Answer: LCM of Numerators as per given numbers 1944/725, 3708/332 is

LCM of Numerators i.e. for 1944,3708 is 200232

GCF of denominators i.e. for 725,332 is 1.

Thus, LCM of Fractions is 200232.Finally, LCM of Fractions for 1944/725, 3708/332 is 200232.