Least Common Multiple of 480/29, 750/8706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/29, 750/8706 quickly i.e. 12000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/29, 750/8706 is 12000.

LCM(480/29, 750/8706) = 12000

LCM of 480/29, 750/8706

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 480/29,750/8706

Given numbers are 480/29,750/8706

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 480,750

Least Common Multiple of Numerators i.e. LCM of 480,750 is 12000.

GCF of Denominators means GCF of 29,8706 as per the given fractions.

GCF of 29,8706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,750

LCM of Fractions 480/29,750/8706 is 12000

2 480, 750
3 240, 375
5 80, 125
16, 25

∴ So the LCM of the given numbers is 2 x 3 x 5 x 16 x 25 = 12000

Least Common Multiple of 480,750 with GCF Formula

Least Common Multiple of 480,750 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 480,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,750) = 30

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

GCF(480,750) x common factors =30 x 1 = 30

LCM(480,750) = ( 480 × 750 ) / 30

LCM(480,750) = 360000 / 30

LCM(480,750) = 12000


Lets's calculate GCF of 29,8706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12000/1

Therefore the LCM of Fractions 480/29,750/8706 is 12000

Greatest Common Factor of 29,8706 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,8706 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 8706

List of positive integer factors of 8706 that divides 8706 without a remainder.

1,2,3,6,1451,2902,4353,8706

Greatest Common Factor

We found the factors 29,8706 . The biggest common factor number is the GCF number.
So the greatest common factor 29,8706 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 480/29, 750/8706

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 480/29, 750/8706?

Answer: LCM of Numerators as per given numbers 480/29, 750/8706 is

LCM of Numerators i.e. for 480,750 is 12000

GCF of denominators i.e. for 29,8706 is 1.

Thus, LCM of Fractions is 12000.Finally, LCM of Fractions for 480/29, 750/8706 is 12000.