Least Common Multiple of 46/209, 38/297, 964/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/209, 38/297, 964/737 quickly i.e. 421268/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/209, 38/297, 964/737 is 421268/11.

LCM(46/209, 38/297, 964/737) = 421268/11

LCM of 46/209, 38/297, 964/737

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 46/209,38/297,964/737

Given numbers are 46/209,38/297,964/737

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 46,38,964

Least Common Multiple of Numerators i.e. LCM of 46,38,964 is 421268.

GCF of Denominators means GCF of 209,297,737 as per the given fractions.

GCF of 209,297,737 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,38,964

LCM of Fractions 46/209,38/297,964/737 is 421268/11

2 46, 38, 964
23, 19, 482

∴ So the LCM of the given numbers is 2 x 23 x 19 x 482 = 421268

Least Common Multiple of 46,38,964 with GCF Formula

Least Common Multiple of 46,38,964 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 46,38,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,38,964) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(46,38,964) x common factors =2 x 2 = 4

LCM(46,38,964) = ( 46 × 38 × 964 ) / 4

LCM(46,38,964) = 1685072 / 4

LCM(46,38,964) = 421268


Lets's calculate GCF of 209,297,737

11 209, 297, 737
19, 27, 67

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 421268/11

Therefore the LCM of Fractions 46/209,38/297,964/737 is 421268/11

Greatest Common Factor of 209,297,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,297,737 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 209,297,737 . The biggest common factor number is the GCF number.
So the greatest common factor 209,297,737 is 11.


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 46/209, 38/297, 964/737

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 46/209, 38/297, 964/737?

Answer: LCM of Numerators as per given numbers 46/209, 38/297, 964/737 is

LCM of Numerators i.e. for 46,38,964 is 421268

GCF of denominators i.e. for 209,297,737 is 11.

Thus, LCM of Fractions is 421268/11.Finally, LCM of Fractions for 46/209, 38/297, 964/737 is 421268/11.