Least Common Multiple of 732/36, 356/5948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/36, 356/5948 quickly i.e. 16287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/36, 356/5948 is 16287.

LCM(732/36, 356/5948) = 16287

LCM of 732/36, 356/5948

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 732/36,356/5948

Given numbers are 732/36,356/5948

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 732,356

Least Common Multiple of Numerators i.e. LCM of 732,356 is 65148.

GCF of Denominators means GCF of 36,5948 as per the given fractions.

GCF of 36,5948 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,356

LCM of Fractions 732/36,356/5948 is 16287

2 732, 356
2 366, 178
183, 89

∴ So the LCM of the given numbers is 2 x 2 x 183 x 89 = 65148

Least Common Multiple of 732,356 with GCF Formula

Least Common Multiple of 732,356 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 732,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,356) = 4

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

GCF(732,356) x common factors =4 x 1 = 4

LCM(732,356) = ( 732 × 356 ) / 4

LCM(732,356) = 260592 / 4

LCM(732,356) = 65148


Lets's calculate GCF of 36,5948

2 36, 5948
2 18, 2974
9, 1487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65148/4

Therefore the LCM of Fractions 732/36,356/5948 is 16287

Greatest Common Factor of 36,5948 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,5948 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 5948

List of positive integer factors of 5948 that divides 5948 without a remainder.

1,2,4,1487,2974,5948

Greatest Common Factor

We found the factors 36,5948 . The biggest common factor number is the GCF number.
So the greatest common factor 36,5948 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 732/36, 356/5948

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 732/36, 356/5948?

Answer: LCM of Numerators as per given numbers 732/36, 356/5948 is

LCM of Numerators i.e. for 732,356 is 65148

GCF of denominators i.e. for 36,5948 is 4.

Thus, LCM of Fractions is 16287.Finally, LCM of Fractions for 732/36, 356/5948 is 16287.