Least Common Multiple of 160/48, 8029/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 160/48, 8029/530 quickly i.e. 642320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 160/48, 8029/530 is 642320.

LCM(160/48, 8029/530) = 642320

LCM of 160/48, 8029/530

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 160/48,8029/530

Given numbers are 160/48,8029/530

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 160,8029

Least Common Multiple of Numerators i.e. LCM of 160,8029 is 1284640.

GCF of Denominators means GCF of 48,530 as per the given fractions.

GCF of 48,530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 160,8029

LCM of Fractions 160/48,8029/530 is 642320

Given numbers has no common factors except 1. So, there LCM is their product i.e 1284640

Least Common Multiple of 160,8029 with GCF Formula

Least Common Multiple of 160,8029 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 160,8029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,8029) = 1

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

GCF(160,8029) x common factors =1 x 1 = 1

LCM(160,8029) = ( 160 × 8029 ) / 1

LCM(160,8029) = 1284640 / 1

LCM(160,8029) = 1284640


Lets's calculate GCF of 48,530

2 48, 530
24, 265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1284640/2

Therefore the LCM of Fractions 160/48,8029/530 is 642320

Greatest Common Factor of 48,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,530 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 48,530 . The biggest common factor number is the GCF number.
So the greatest common factor 48,530 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 160/48, 8029/530

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 160/48, 8029/530?

Answer: LCM of Numerators as per given numbers 160/48, 8029/530 is

LCM of Numerators i.e. for 160,8029 is 1284640

GCF of denominators i.e. for 48,530 is 2.

Thus, LCM of Fractions is 642320.Finally, LCM of Fractions for 160/48, 8029/530 is 642320.