Least Common Multiple of 530/277, 9120/5616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/277, 9120/5616 quickly i.e. 483360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/277, 9120/5616 is 483360.

LCM(530/277, 9120/5616) = 483360

LCM of 530/277, 9120/5616

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 530/277,9120/5616

Given numbers are 530/277,9120/5616

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 530,9120

Least Common Multiple of Numerators i.e. LCM of 530,9120 is 483360.

GCF of Denominators means GCF of 277,5616 as per the given fractions.

GCF of 277,5616 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,9120

LCM of Fractions 530/277,9120/5616 is 483360

2 530, 9120
5 265, 4560
53, 912

∴ So the LCM of the given numbers is 2 x 5 x 53 x 912 = 483360

Least Common Multiple of 530,9120 with GCF Formula

Least Common Multiple of 530,9120 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 530,9120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,9120) = 10

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

GCF(530,9120) x common factors =10 x 1 = 10

LCM(530,9120) = ( 530 × 9120 ) / 10

LCM(530,9120) = 4833600 / 10

LCM(530,9120) = 483360


Lets's calculate GCF of 277,5616

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 483360/1

Therefore the LCM of Fractions 530/277,9120/5616 is 483360

Greatest Common Factor of 277,5616 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,5616 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 5616

List of positive integer factors of 5616 that divides 5616 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616

Greatest Common Factor

We found the factors 277,5616 . The biggest common factor number is the GCF number.
So the greatest common factor 277,5616 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 530/277, 9120/5616

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 530/277, 9120/5616?

Answer: LCM of Numerators as per given numbers 530/277, 9120/5616 is

LCM of Numerators i.e. for 530,9120 is 483360

GCF of denominators i.e. for 277,5616 is 1.

Thus, LCM of Fractions is 483360.Finally, LCM of Fractions for 530/277, 9120/5616 is 483360.