Least Common Multiple of 3336/804, 5780/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3336/804, 5780/146 quickly i.e. 2410260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3336/804, 5780/146 is 2410260.

LCM(3336/804, 5780/146) = 2410260

LCM of 3336/804, 5780/146

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 3336/804,5780/146

Given numbers are 3336/804,5780/146

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 3336,5780

Least Common Multiple of Numerators i.e. LCM of 3336,5780 is 4820520.

GCF of Denominators means GCF of 804,146 as per the given fractions.

GCF of 804,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3336,5780

LCM of Fractions 3336/804,5780/146 is 2410260

2 3336, 5780
2 1668, 2890
834, 1445

∴ So the LCM of the given numbers is 2 x 2 x 834 x 1445 = 4820520

Least Common Multiple of 3336,5780 with GCF Formula

Least Common Multiple of 3336,5780 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 3336,5780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3336,5780) = 4

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

GCF(3336,5780) x common factors =4 x 1 = 4

LCM(3336,5780) = ( 3336 × 5780 ) / 4

LCM(3336,5780) = 19282080 / 4

LCM(3336,5780) = 4820520


Lets's calculate GCF of 804,146

2 804, 146
402, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4820520/2

Therefore the LCM of Fractions 3336/804,5780/146 is 2410260

Greatest Common Factor of 804,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,146 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 804,146 . The biggest common factor number is the GCF number.
So the greatest common factor 804,146 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3336/804, 5780/146

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 3336/804, 5780/146?

Answer: LCM of Numerators as per given numbers 3336/804, 5780/146 is

LCM of Numerators i.e. for 3336,5780 is 4820520

GCF of denominators i.e. for 804,146 is 2.

Thus, LCM of Fractions is 2410260.Finally, LCM of Fractions for 3336/804, 5780/146 is 2410260.