Least Common Multiple of 849/838, 3531/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/838, 3531/672 quickly i.e. 999273/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/838, 3531/672 is 999273/2.

LCM(849/838, 3531/672) = 999273/2

LCM of 849/838, 3531/672

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 849/838,3531/672

Given numbers are 849/838,3531/672

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 849,3531

Least Common Multiple of Numerators i.e. LCM of 849,3531 is 999273.

GCF of Denominators means GCF of 838,672 as per the given fractions.

GCF of 838,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,3531

LCM of Fractions 849/838,3531/672 is 999273/2

3 849, 3531
283, 1177

∴ So the LCM of the given numbers is 3 x 283 x 1177 = 999273

Least Common Multiple of 849,3531 with GCF Formula

Least Common Multiple of 849,3531 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 849,3531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,3531) = 3

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

GCF(849,3531) x common factors =3 x 1 = 3

LCM(849,3531) = ( 849 × 3531 ) / 3

LCM(849,3531) = 2997819 / 3

LCM(849,3531) = 999273


Lets's calculate GCF of 838,672

2 838, 672
419, 336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 999273/2

Therefore the LCM of Fractions 849/838,3531/672 is 999273/2

Greatest Common Factor of 838,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,672 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 838,672 . The biggest common factor number is the GCF number.
So the greatest common factor 838,672 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 849/838, 3531/672

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 849/838, 3531/672?

Answer: LCM of Numerators as per given numbers 849/838, 3531/672 is

LCM of Numerators i.e. for 849,3531 is 999273

GCF of denominators i.e. for 838,672 is 2.

Thus, LCM of Fractions is 999273/2.Finally, LCM of Fractions for 849/838, 3531/672 is 999273/2.