Least Common Multiple of 3276/242, 1194/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3276/242, 1194/200 quickly i.e. 325962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3276/242, 1194/200 is 325962.

LCM(3276/242, 1194/200) = 325962

LCM of 3276/242, 1194/200

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 3276/242,1194/200

Given numbers are 3276/242,1194/200

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 3276,1194

Least Common Multiple of Numerators i.e. LCM of 3276,1194 is 651924.

GCF of Denominators means GCF of 242,200 as per the given fractions.

GCF of 242,200 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3276,1194

LCM of Fractions 3276/242,1194/200 is 325962

2 3276, 1194
3 1638, 597
546, 199

∴ So the LCM of the given numbers is 2 x 3 x 546 x 199 = 651924

Least Common Multiple of 3276,1194 with GCF Formula

Least Common Multiple of 3276,1194 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 3276,1194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3276,1194) = 6

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

GCF(3276,1194) x common factors =6 x 1 = 6

LCM(3276,1194) = ( 3276 × 1194 ) / 6

LCM(3276,1194) = 3911544 / 6

LCM(3276,1194) = 651924


Lets's calculate GCF of 242,200

2 242, 200
121, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 651924/2

Therefore the LCM of Fractions 3276/242,1194/200 is 325962

Greatest Common Factor of 242,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,200 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 242,200 . The biggest common factor number is the GCF number.
So the greatest common factor 242,200 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3276/242, 1194/200

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 3276/242, 1194/200?

Answer: LCM of Numerators as per given numbers 3276/242, 1194/200 is

LCM of Numerators i.e. for 3276,1194 is 651924

GCF of denominators i.e. for 242,200 is 2.

Thus, LCM of Fractions is 325962.Finally, LCM of Fractions for 3276/242, 1194/200 is 325962.