Least Common Multiple of 502/389, 6960/9266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 502/389, 6960/9266 quickly i.e. 1746960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 502/389, 6960/9266 is 1746960.

LCM(502/389, 6960/9266) = 1746960

LCM of 502/389, 6960/9266

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 502/389,6960/9266

Given numbers are 502/389,6960/9266

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 502,6960

Least Common Multiple of Numerators i.e. LCM of 502,6960 is 1746960.

GCF of Denominators means GCF of 389,9266 as per the given fractions.

GCF of 389,9266 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 502,6960

LCM of Fractions 502/389,6960/9266 is 1746960

2 502, 6960
251, 3480

∴ So the LCM of the given numbers is 2 x 251 x 3480 = 1746960

Least Common Multiple of 502,6960 with GCF Formula

Least Common Multiple of 502,6960 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 502,6960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,6960) = 2

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

GCF(502,6960) x common factors =2 x 1 = 2

LCM(502,6960) = ( 502 × 6960 ) / 2

LCM(502,6960) = 3493920 / 2

LCM(502,6960) = 1746960


Lets's calculate GCF of 389,9266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1746960/1

Therefore the LCM of Fractions 502/389,6960/9266 is 1746960

Greatest Common Factor of 389,9266 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,9266 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 9266

List of positive integer factors of 9266 that divides 9266 without a remainder.

1,2,41,82,113,226,4633,9266

Greatest Common Factor

We found the factors 389,9266 . The biggest common factor number is the GCF number.
So the greatest common factor 389,9266 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 502/389, 6960/9266

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 502/389, 6960/9266?

Answer: LCM of Numerators as per given numbers 502/389, 6960/9266 is

LCM of Numerators i.e. for 502,6960 is 1746960

GCF of denominators i.e. for 389,9266 is 1.

Thus, LCM of Fractions is 1746960.Finally, LCM of Fractions for 502/389, 6960/9266 is 1746960.