Least Common Multiple of 530/126, 9465/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/126, 9465/384 quickly i.e. 167215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/126, 9465/384 is 167215.

LCM(530/126, 9465/384) = 167215

LCM of 530/126, 9465/384

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 530/126,9465/384

Given numbers are 530/126,9465/384

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 530,9465

Least Common Multiple of Numerators i.e. LCM of 530,9465 is 1003290.

GCF of Denominators means GCF of 126,384 as per the given fractions.

GCF of 126,384 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,9465

LCM of Fractions 530/126,9465/384 is 167215

5 530, 9465
106, 1893

∴ So the LCM of the given numbers is 5 x 106 x 1893 = 1003290

Least Common Multiple of 530,9465 with GCF Formula

Least Common Multiple of 530,9465 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 530,9465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,9465) = 5

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

GCF(530,9465) x common factors =5 x 1 = 5

LCM(530,9465) = ( 530 × 9465 ) / 5

LCM(530,9465) = 5016450 / 5

LCM(530,9465) = 1003290


Lets's calculate GCF of 126,384

2 126, 384
3 63, 192
21, 64

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1003290/6

Therefore the LCM of Fractions 530/126,9465/384 is 167215

Greatest Common Factor of 126,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,384 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 126,384 . The biggest common factor number is the GCF number.
So the greatest common factor 126,384 is 6.


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 530/126, 9465/384

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 530/126, 9465/384?

Answer: LCM of Numerators as per given numbers 530/126, 9465/384 is

LCM of Numerators i.e. for 530,9465 is 1003290

GCF of denominators i.e. for 126,384 is 6.

Thus, LCM of Fractions is 167215.Finally, LCM of Fractions for 530/126, 9465/384 is 167215.