Least Common Multiple of 750/43, 306/30, 465/66

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/43, 306/30, 465/66 quickly i.e. 1185750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/43, 306/30, 465/66 is 1185750.

LCM(750/43, 306/30, 465/66) = 1185750

LCM of 750/43, 306/30, 465/66

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 750/43,306/30,465/66

Given numbers are 750/43,306/30,465/66

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 750,306,465

Least Common Multiple of Numerators i.e. LCM of 750,306,465 is 1185750.

GCF of Denominators means GCF of 43,30,66 as per the given fractions.

GCF of 43,30,66 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,306,465

LCM of Fractions 750/43,306/30,465/66 is 1185750

2 750, 306, 465
3 375, 153, 465
5 125, 51, 155
25, 51, 31

∴ So the LCM of the given numbers is 2 x 3 x 5 x 25 x 51 x 31 = 1185750

Least Common Multiple of 750,306,465 with GCF Formula

Least Common Multiple of 750,306,465 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 750,306,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,306,465) = 3

common factors(in case of two or more numbers have common factors) = 30

GCF(750,306,465) x common factors =3 x 30 = 90

LCM(750,306,465) = ( 750 × 306 × 465 ) / 90

LCM(750,306,465) = 106717500 / 90

LCM(750,306,465) = 1185750


Lets's calculate GCF of 43,30,66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1185750/1

Therefore the LCM of Fractions 750/43,306/30,465/66 is 1185750

Greatest Common Factor of 43,30,66 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,30,66 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Greatest Common Factor

We found the factors 43,30,66 . The biggest common factor number is the GCF number.
So the greatest common factor 43,30,66 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 750/43, 306/30, 465/66

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 750/43, 306/30, 465/66?

Answer: LCM of Numerators as per given numbers 750/43, 306/30, 465/66 is

LCM of Numerators i.e. for 750,306,465 is 1185750

GCF of denominators i.e. for 43,30,66 is 1.

Thus, LCM of Fractions is 1185750.Finally, LCM of Fractions for 750/43, 306/30, 465/66 is 1185750.