Least Common Multiple of 732/90, 670/3792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/90, 670/3792 quickly i.e. 40870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/90, 670/3792 is 40870.

LCM(732/90, 670/3792) = 40870

LCM of 732/90, 670/3792

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 732/90,670/3792

Given numbers are 732/90,670/3792

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 732,670

Least Common Multiple of Numerators i.e. LCM of 732,670 is 245220.

GCF of Denominators means GCF of 90,3792 as per the given fractions.

GCF of 90,3792 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,670

LCM of Fractions 732/90,670/3792 is 40870

2 732, 670
366, 335

∴ So the LCM of the given numbers is 2 x 366 x 335 = 245220

Least Common Multiple of 732,670 with GCF Formula

Least Common Multiple of 732,670 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 732,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,670) = 2

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

GCF(732,670) x common factors =2 x 1 = 2

LCM(732,670) = ( 732 × 670 ) / 2

LCM(732,670) = 490440 / 2

LCM(732,670) = 245220


Lets's calculate GCF of 90,3792

2 90, 3792
3 45, 1896
15, 632

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245220/6

Therefore the LCM of Fractions 732/90,670/3792 is 40870

Greatest Common Factor of 90,3792 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,3792 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 3792

List of positive integer factors of 3792 that divides 3792 without a remainder.

1,2,3,4,6,8,12,16,24,48,79,158,237,316,474,632,948,1264,1896,3792

Greatest Common Factor

We found the factors 90,3792 . The biggest common factor number is the GCF number.
So the greatest common factor 90,3792 is 6.


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 732/90, 670/3792

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 732/90, 670/3792?

Answer: LCM of Numerators as per given numbers 732/90, 670/3792 is

LCM of Numerators i.e. for 732,670 is 245220

GCF of denominators i.e. for 90,3792 is 6.

Thus, LCM of Fractions is 40870.Finally, LCM of Fractions for 732/90, 670/3792 is 40870.