Least Common Multiple of 1344/852, 2000/5532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1344/852, 2000/5532 quickly i.e. 14000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1344/852, 2000/5532 is 14000.

LCM(1344/852, 2000/5532) = 14000

LCM of 1344/852, 2000/5532

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 1344/852,2000/5532

Given numbers are 1344/852,2000/5532

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 1344,2000

Least Common Multiple of Numerators i.e. LCM of 1344,2000 is 168000.

GCF of Denominators means GCF of 852,5532 as per the given fractions.

GCF of 852,5532 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1344,2000

LCM of Fractions 1344/852,2000/5532 is 14000

2 1344, 2000
2 672, 1000
2 336, 500
2 168, 250
84, 125

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 84 x 125 = 168000

Least Common Multiple of 1344,2000 with GCF Formula

Least Common Multiple of 1344,2000 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 1344,2000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1344,2000) = 16

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

GCF(1344,2000) x common factors =16 x 1 = 16

LCM(1344,2000) = ( 1344 × 2000 ) / 16

LCM(1344,2000) = 2688000 / 16

LCM(1344,2000) = 168000


Lets's calculate GCF of 852,5532

2 852, 5532
2 426, 2766
3 213, 1383
71, 461

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168000/12

Therefore the LCM of Fractions 1344/852,2000/5532 is 14000

Greatest Common Factor of 852,5532 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,5532 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 5532

List of positive integer factors of 5532 that divides 5532 without a remainder.

1,2,3,4,6,12,461,922,1383,1844,2766,5532

Greatest Common Factor

We found the factors 852,5532 . The biggest common factor number is the GCF number.
So the greatest common factor 852,5532 is 12.


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 1344/852, 2000/5532

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 1344/852, 2000/5532?

Answer: LCM of Numerators as per given numbers 1344/852, 2000/5532 is

LCM of Numerators i.e. for 1344,2000 is 168000

GCF of denominators i.e. for 852,5532 is 12.

Thus, LCM of Fractions is 14000.Finally, LCM of Fractions for 1344/852, 2000/5532 is 14000.