Least Common Multiple of 3384/246, 8856/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3384/246, 8856/292 quickly i.e. 208116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3384/246, 8856/292 is 208116.

LCM(3384/246, 8856/292) = 208116

LCM of 3384/246, 8856/292

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 3384/246,8856/292

Given numbers are 3384/246,8856/292

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 3384,8856

Least Common Multiple of Numerators i.e. LCM of 3384,8856 is 416232.

GCF of Denominators means GCF of 246,292 as per the given fractions.

GCF of 246,292 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3384,8856

LCM of Fractions 3384/246,8856/292 is 208116

2 3384, 8856
2 1692, 4428
2 846, 2214
3 423, 1107
3 141, 369
47, 123

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 47 x 123 = 416232

Least Common Multiple of 3384,8856 with GCF Formula

Least Common Multiple of 3384,8856 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 3384,8856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3384,8856) = 72

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

GCF(3384,8856) x common factors =72 x 1 = 72

LCM(3384,8856) = ( 3384 × 8856 ) / 72

LCM(3384,8856) = 29968704 / 72

LCM(3384,8856) = 416232


Lets's calculate GCF of 246,292

2 246, 292
123, 146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416232/2

Therefore the LCM of Fractions 3384/246,8856/292 is 208116

Greatest Common Factor of 246,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,292 By Matching Biggest Common Factor Method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 246,292 . The biggest common factor number is the GCF number.
So the greatest common factor 246,292 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3384/246, 8856/292

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 3384/246, 8856/292?

Answer: LCM of Numerators as per given numbers 3384/246, 8856/292 is

LCM of Numerators i.e. for 3384,8856 is 416232

GCF of denominators i.e. for 246,292 is 2.

Thus, LCM of Fractions is 208116.Finally, LCM of Fractions for 3384/246, 8856/292 is 208116.