Least Common Multiple of 19/964, 9949/1744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/964, 9949/1744 quickly i.e. 189031/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/964, 9949/1744 is 189031/4.

LCM(19/964, 9949/1744) = 189031/4

LCM of 19/964, 9949/1744

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 19/964,9949/1744

Given numbers are 19/964,9949/1744

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 19,9949

Least Common Multiple of Numerators i.e. LCM of 19,9949 is 189031.

GCF of Denominators means GCF of 964,1744 as per the given fractions.

GCF of 964,1744 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,9949

LCM of Fractions 19/964,9949/1744 is 189031/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 189031

Least Common Multiple of 19,9949 with GCF Formula

Least Common Multiple of 19,9949 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 19,9949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,9949) = 1

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

GCF(19,9949) x common factors =1 x 1 = 1

LCM(19,9949) = ( 19 × 9949 ) / 1

LCM(19,9949) = 189031 / 1

LCM(19,9949) = 189031


Lets's calculate GCF of 964,1744

2 964, 1744
2 482, 872
241, 436

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189031/4

Therefore the LCM of Fractions 19/964,9949/1744 is 189031/4

Greatest Common Factor of 964,1744 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,1744 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 1744

List of positive integer factors of 1744 that divides 1744 without a remainder.

1,2,4,8,16,109,218,436,872,1744

Greatest Common Factor

We found the factors 964,1744 . The biggest common factor number is the GCF number.
So the greatest common factor 964,1744 is 4.


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 19/964, 9949/1744

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 19/964, 9949/1744?

Answer: LCM of Numerators as per given numbers 19/964, 9949/1744 is

LCM of Numerators i.e. for 19,9949 is 189031

GCF of denominators i.e. for 964,1744 is 4.

Thus, LCM of Fractions is 189031/4.Finally, LCM of Fractions for 19/964, 9949/1744 is 189031/4.