Least Common Multiple of 966/21, 3537/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 966/21, 3537/343 quickly i.e. 162702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 966/21, 3537/343 is 162702.

LCM(966/21, 3537/343) = 162702

LCM of 966/21, 3537/343

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 966/21,3537/343

Given numbers are 966/21,3537/343

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 966,3537

Least Common Multiple of Numerators i.e. LCM of 966,3537 is 1138914.

GCF of Denominators means GCF of 21,343 as per the given fractions.

GCF of 21,343 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 966,3537

LCM of Fractions 966/21,3537/343 is 162702

3 966, 3537
322, 1179

∴ So the LCM of the given numbers is 3 x 322 x 1179 = 1138914

Least Common Multiple of 966,3537 with GCF Formula

Least Common Multiple of 966,3537 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 966,3537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,3537) = 3

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

GCF(966,3537) x common factors =3 x 1 = 3

LCM(966,3537) = ( 966 × 3537 ) / 3

LCM(966,3537) = 3416742 / 3

LCM(966,3537) = 1138914


Lets's calculate GCF of 21,343

7 21, 343
3, 49

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1138914/7

Therefore the LCM of Fractions 966/21,3537/343 is 162702

Greatest Common Factor of 21,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,343 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 21,343 . The biggest common factor number is the GCF number.
So the greatest common factor 21,343 is 7.


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 966/21, 3537/343

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 966/21, 3537/343?

Answer: LCM of Numerators as per given numbers 966/21, 3537/343 is

LCM of Numerators i.e. for 966,3537 is 1138914

GCF of denominators i.e. for 21,343 is 7.

Thus, LCM of Fractions is 162702.Finally, LCM of Fractions for 966/21, 3537/343 is 162702.