Least Common Multiple of 2429/929, 7500/7170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2429/929, 7500/7170 quickly i.e. 18217500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2429/929, 7500/7170 is 18217500.

LCM(2429/929, 7500/7170) = 18217500

LCM of 2429/929, 7500/7170

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 2429/929,7500/7170

Given numbers are 2429/929,7500/7170

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 2429,7500

Least Common Multiple of Numerators i.e. LCM of 2429,7500 is 18217500.

GCF of Denominators means GCF of 929,7170 as per the given fractions.

GCF of 929,7170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2429,7500

LCM of Fractions 2429/929,7500/7170 is 18217500

Given numbers has no common factors except 1. So, there LCM is their product i.e 18217500

Least Common Multiple of 2429,7500 with GCF Formula

Least Common Multiple of 2429,7500 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 2429,7500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2429,7500) = 1

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

GCF(2429,7500) x common factors =1 x 1 = 1

LCM(2429,7500) = ( 2429 × 7500 ) / 1

LCM(2429,7500) = 18217500 / 1

LCM(2429,7500) = 18217500


Lets's calculate GCF of 929,7170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18217500/1

Therefore the LCM of Fractions 2429/929,7500/7170 is 18217500

Greatest Common Factor of 929,7170 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,7170 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 7170

List of positive integer factors of 7170 that divides 7170 without a remainder.

1,2,3,5,6,10,15,30,239,478,717,1195,1434,2390,3585,7170

Greatest Common Factor

We found the factors 929,7170 . The biggest common factor number is the GCF number.
So the greatest common factor 929,7170 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 2429/929, 7500/7170

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 2429/929, 7500/7170?

Answer: LCM of Numerators as per given numbers 2429/929, 7500/7170 is

LCM of Numerators i.e. for 2429,7500 is 18217500

GCF of denominators i.e. for 929,7170 is 1.

Thus, LCM of Fractions is 18217500.Finally, LCM of Fractions for 2429/929, 7500/7170 is 18217500.