Least Common Multiple of 336/898, 6669/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 336/898, 6669/584 quickly i.e. 373464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 336/898, 6669/584 is 373464.

LCM(336/898, 6669/584) = 373464

LCM of 336/898, 6669/584

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 336/898,6669/584

Given numbers are 336/898,6669/584

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 336,6669

Least Common Multiple of Numerators i.e. LCM of 336,6669 is 746928.

GCF of Denominators means GCF of 898,584 as per the given fractions.

GCF of 898,584 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 336,6669

LCM of Fractions 336/898,6669/584 is 373464

3 336, 6669
112, 2223

∴ So the LCM of the given numbers is 3 x 112 x 2223 = 746928

Least Common Multiple of 336,6669 with GCF Formula

Least Common Multiple of 336,6669 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 336,6669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,6669) = 3

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

GCF(336,6669) x common factors =3 x 1 = 3

LCM(336,6669) = ( 336 × 6669 ) / 3

LCM(336,6669) = 2240784 / 3

LCM(336,6669) = 746928


Lets's calculate GCF of 898,584

2 898, 584
449, 292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 746928/2

Therefore the LCM of Fractions 336/898,6669/584 is 373464

Greatest Common Factor of 898,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,584 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 898,584 . The biggest common factor number is the GCF number.
So the greatest common factor 898,584 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 336/898, 6669/584

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 336/898, 6669/584?

Answer: LCM of Numerators as per given numbers 336/898, 6669/584 is

LCM of Numerators i.e. for 336,6669 is 746928

GCF of denominators i.e. for 898,584 is 2.

Thus, LCM of Fractions is 373464.Finally, LCM of Fractions for 336/898, 6669/584 is 373464.