Least Common Multiple of 234/483, 3646/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/483, 3646/750 quickly i.e. 142194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/483, 3646/750 is 142194.

LCM(234/483, 3646/750) = 142194

LCM of 234/483, 3646/750

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 234/483,3646/750

Given numbers are 234/483,3646/750

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 234,3646

Least Common Multiple of Numerators i.e. LCM of 234,3646 is 426582.

GCF of Denominators means GCF of 483,750 as per the given fractions.

GCF of 483,750 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,3646

LCM of Fractions 234/483,3646/750 is 142194

2 234, 3646
117, 1823

∴ So the LCM of the given numbers is 2 x 117 x 1823 = 426582

Least Common Multiple of 234,3646 with GCF Formula

Least Common Multiple of 234,3646 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 234,3646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,3646) = 2

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

GCF(234,3646) x common factors =2 x 1 = 2

LCM(234,3646) = ( 234 × 3646 ) / 2

LCM(234,3646) = 853164 / 2

LCM(234,3646) = 426582


Lets's calculate GCF of 483,750

3 483, 750
161, 250

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426582/3

Therefore the LCM of Fractions 234/483,3646/750 is 142194

Greatest Common Factor of 483,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,750 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 483,750 . The biggest common factor number is the GCF number.
So the greatest common factor 483,750 is 3.


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 234/483, 3646/750

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 234/483, 3646/750?

Answer: LCM of Numerators as per given numbers 234/483, 3646/750 is

LCM of Numerators i.e. for 234,3646 is 426582

GCF of denominators i.e. for 483,750 is 3.

Thus, LCM of Fractions is 142194.Finally, LCM of Fractions for 234/483, 3646/750 is 142194.