Least Common Multiple of 3336/102, 7084/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3336/102, 7084/196 quickly i.e. 2954028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3336/102, 7084/196 is 2954028.

LCM(3336/102, 7084/196) = 2954028

LCM of 3336/102, 7084/196

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 3336/102,7084/196

Given numbers are 3336/102,7084/196

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 3336,7084

Least Common Multiple of Numerators i.e. LCM of 3336,7084 is 5908056.

GCF of Denominators means GCF of 102,196 as per the given fractions.

GCF of 102,196 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3336,7084

LCM of Fractions 3336/102,7084/196 is 2954028

2 3336, 7084
2 1668, 3542
834, 1771

∴ So the LCM of the given numbers is 2 x 2 x 834 x 1771 = 5908056

Least Common Multiple of 3336,7084 with GCF Formula

Least Common Multiple of 3336,7084 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 3336,7084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3336,7084) = 4

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

GCF(3336,7084) x common factors =4 x 1 = 4

LCM(3336,7084) = ( 3336 × 7084 ) / 4

LCM(3336,7084) = 23632224 / 4

LCM(3336,7084) = 5908056


Lets's calculate GCF of 102,196

2 102, 196
51, 98

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5908056/2

Therefore the LCM of Fractions 3336/102,7084/196 is 2954028

Greatest Common Factor of 102,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,196 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 102,196 . The biggest common factor number is the GCF number.
So the greatest common factor 102,196 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3336/102, 7084/196

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 3336/102, 7084/196?

Answer: LCM of Numerators as per given numbers 3336/102, 7084/196 is

LCM of Numerators i.e. for 3336,7084 is 5908056

GCF of denominators i.e. for 102,196 is 2.

Thus, LCM of Fractions is 2954028.Finally, LCM of Fractions for 3336/102, 7084/196 is 2954028.