Least Common Multiple of 3390/732, 9984/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3390/732, 9984/779 quickly i.e. 5640960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3390/732, 9984/779 is 5640960.

LCM(3390/732, 9984/779) = 5640960

LCM of 3390/732, 9984/779

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 3390/732,9984/779

Given numbers are 3390/732,9984/779

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 3390,9984

Least Common Multiple of Numerators i.e. LCM of 3390,9984 is 5640960.

GCF of Denominators means GCF of 732,779 as per the given fractions.

GCF of 732,779 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3390,9984

LCM of Fractions 3390/732,9984/779 is 5640960

2 3390, 9984
3 1695, 4992
565, 1664

∴ So the LCM of the given numbers is 2 x 3 x 565 x 1664 = 5640960

Least Common Multiple of 3390,9984 with GCF Formula

Least Common Multiple of 3390,9984 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 3390,9984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3390,9984) = 6

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

GCF(3390,9984) x common factors =6 x 1 = 6

LCM(3390,9984) = ( 3390 × 9984 ) / 6

LCM(3390,9984) = 33845760 / 6

LCM(3390,9984) = 5640960


Lets's calculate GCF of 732,779

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5640960/1

Therefore the LCM of Fractions 3390/732,9984/779 is 5640960

Greatest Common Factor of 732,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,779 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 732,779 . The biggest common factor number is the GCF number.
So the greatest common factor 732,779 is 1.


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 3390/732, 9984/779

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 3390/732, 9984/779?

Answer: LCM of Numerators as per given numbers 3390/732, 9984/779 is

LCM of Numerators i.e. for 3390,9984 is 5640960

GCF of denominators i.e. for 732,779 is 1.

Thus, LCM of Fractions is 5640960.Finally, LCM of Fractions for 3390/732, 9984/779 is 5640960.