Least Common Multiple of 396/42, 928/3700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 396/42, 928/3700 quickly i.e. 45936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 396/42, 928/3700 is 45936.

LCM(396/42, 928/3700) = 45936

LCM of 396/42, 928/3700

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 396/42,928/3700

Given numbers are 396/42,928/3700

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 396,928

Least Common Multiple of Numerators i.e. LCM of 396,928 is 91872.

GCF of Denominators means GCF of 42,3700 as per the given fractions.

GCF of 42,3700 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 396,928

LCM of Fractions 396/42,928/3700 is 45936

2 396, 928
2 198, 464
99, 232

∴ So the LCM of the given numbers is 2 x 2 x 99 x 232 = 91872

Least Common Multiple of 396,928 with GCF Formula

Least Common Multiple of 396,928 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 396,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,928) = 4

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

GCF(396,928) x common factors =4 x 1 = 4

LCM(396,928) = ( 396 × 928 ) / 4

LCM(396,928) = 367488 / 4

LCM(396,928) = 91872


Lets's calculate GCF of 42,3700

2 42, 3700
21, 1850

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91872/2

Therefore the LCM of Fractions 396/42,928/3700 is 45936

Greatest Common Factor of 42,3700 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,3700 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 3700

List of positive integer factors of 3700 that divides 3700 without a remainder.

1,2,4,5,10,20,25,37,50,74,100,148,185,370,740,925,1850,3700

Greatest Common Factor

We found the factors 42,3700 . The biggest common factor number is the GCF number.
So the greatest common factor 42,3700 is 2.


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 396/42, 928/3700

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 396/42, 928/3700?

Answer: LCM of Numerators as per given numbers 396/42, 928/3700 is

LCM of Numerators i.e. for 396,928 is 91872

GCF of denominators i.e. for 42,3700 is 2.

Thus, LCM of Fractions is 45936.Finally, LCM of Fractions for 396/42, 928/3700 is 45936.