Least Common Multiple of 84/230, 1750/3828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/230, 1750/3828 quickly i.e. 5250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/230, 1750/3828 is 5250.

LCM(84/230, 1750/3828) = 5250

LCM of 84/230, 1750/3828

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 84/230,1750/3828

Given numbers are 84/230,1750/3828

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 84,1750

Least Common Multiple of Numerators i.e. LCM of 84,1750 is 10500.

GCF of Denominators means GCF of 230,3828 as per the given fractions.

GCF of 230,3828 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,1750

LCM of Fractions 84/230,1750/3828 is 5250

2 84, 1750
7 42, 875
6, 125

∴ So the LCM of the given numbers is 2 x 7 x 6 x 125 = 10500

Least Common Multiple of 84,1750 with GCF Formula

Least Common Multiple of 84,1750 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 84,1750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,1750) = 14

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

GCF(84,1750) x common factors =14 x 1 = 14

LCM(84,1750) = ( 84 × 1750 ) / 14

LCM(84,1750) = 147000 / 14

LCM(84,1750) = 10500


Lets's calculate GCF of 230,3828

2 230, 3828
115, 1914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10500/2

Therefore the LCM of Fractions 84/230,1750/3828 is 5250

Greatest Common Factor of 230,3828 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,3828 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 3828

List of positive integer factors of 3828 that divides 3828 without a remainder.

1,2,3,4,6,11,12,22,29,33,44,58,66,87,116,132,174,319,348,638,957,1276,1914,3828

Greatest Common Factor

We found the factors 230,3828 . The biggest common factor number is the GCF number.
So the greatest common factor 230,3828 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 84/230, 1750/3828

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 84/230, 1750/3828?

Answer: LCM of Numerators as per given numbers 84/230, 1750/3828 is

LCM of Numerators i.e. for 84,1750 is 10500

GCF of denominators i.e. for 230,3828 is 2.

Thus, LCM of Fractions is 5250.Finally, LCM of Fractions for 84/230, 1750/3828 is 5250.