Least Common Multiple of 123/923, 3702/9628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/923, 3702/9628 quickly i.e. 151782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/923, 3702/9628 is 151782.

LCM(123/923, 3702/9628) = 151782

LCM of 123/923, 3702/9628

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 123/923,3702/9628

Given numbers are 123/923,3702/9628

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 123,3702

Least Common Multiple of Numerators i.e. LCM of 123,3702 is 151782.

GCF of Denominators means GCF of 923,9628 as per the given fractions.

GCF of 923,9628 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,3702

LCM of Fractions 123/923,3702/9628 is 151782

3 123, 3702
41, 1234

∴ So the LCM of the given numbers is 3 x 41 x 1234 = 151782

Least Common Multiple of 123,3702 with GCF Formula

Least Common Multiple of 123,3702 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 123,3702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,3702) = 3

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

GCF(123,3702) x common factors =3 x 1 = 3

LCM(123,3702) = ( 123 × 3702 ) / 3

LCM(123,3702) = 455346 / 3

LCM(123,3702) = 151782


Lets's calculate GCF of 923,9628

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151782/1

Therefore the LCM of Fractions 123/923,3702/9628 is 151782

Greatest Common Factor of 923,9628 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,9628 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 9628

List of positive integer factors of 9628 that divides 9628 without a remainder.

1,2,4,29,58,83,116,166,332,2407,4814,9628

Greatest Common Factor

We found the factors 923,9628 . The biggest common factor number is the GCF number.
So the greatest common factor 923,9628 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 123/923, 3702/9628

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 123/923, 3702/9628?

Answer: LCM of Numerators as per given numbers 123/923, 3702/9628 is

LCM of Numerators i.e. for 123,3702 is 151782

GCF of denominators i.e. for 923,9628 is 1.

Thus, LCM of Fractions is 151782.Finally, LCM of Fractions for 123/923, 3702/9628 is 151782.