Least Common Multiple of 5604/546, 1904/3940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5604/546, 1904/3940 quickly i.e. 1333752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5604/546, 1904/3940 is 1333752.

LCM(5604/546, 1904/3940) = 1333752

LCM of 5604/546, 1904/3940

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 5604/546,1904/3940

Given numbers are 5604/546,1904/3940

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 5604,1904

Least Common Multiple of Numerators i.e. LCM of 5604,1904 is 2667504.

GCF of Denominators means GCF of 546,3940 as per the given fractions.

GCF of 546,3940 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5604,1904

LCM of Fractions 5604/546,1904/3940 is 1333752

2 5604, 1904
2 2802, 952
1401, 476

∴ So the LCM of the given numbers is 2 x 2 x 1401 x 476 = 2667504

Least Common Multiple of 5604,1904 with GCF Formula

Least Common Multiple of 5604,1904 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 5604,1904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5604,1904) = 4

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

GCF(5604,1904) x common factors =4 x 1 = 4

LCM(5604,1904) = ( 5604 × 1904 ) / 4

LCM(5604,1904) = 10670016 / 4

LCM(5604,1904) = 2667504


Lets's calculate GCF of 546,3940

2 546, 3940
273, 1970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2667504/2

Therefore the LCM of Fractions 5604/546,1904/3940 is 1333752

Greatest Common Factor of 546,3940 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,3940 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 3940

List of positive integer factors of 3940 that divides 3940 without a remainder.

1,2,4,5,10,20,197,394,788,985,1970,3940

Greatest Common Factor

We found the factors 546,3940 . The biggest common factor number is the GCF number.
So the greatest common factor 546,3940 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 5604/546, 1904/3940

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 5604/546, 1904/3940?

Answer: LCM of Numerators as per given numbers 5604/546, 1904/3940 is

LCM of Numerators i.e. for 5604,1904 is 2667504

GCF of denominators i.e. for 546,3940 is 2.

Thus, LCM of Fractions is 1333752.Finally, LCM of Fractions for 5604/546, 1904/3940 is 1333752.