Least Common Multiple of 6030/480, 9266/7530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6030/480, 9266/7530 quickly i.e. 931233 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6030/480, 9266/7530 is 931233.

LCM(6030/480, 9266/7530) = 931233

LCM of 6030/480, 9266/7530

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 6030/480,9266/7530

Given numbers are 6030/480,9266/7530

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 6030,9266

Least Common Multiple of Numerators i.e. LCM of 6030,9266 is 27936990.

GCF of Denominators means GCF of 480,7530 as per the given fractions.

GCF of 480,7530 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6030,9266

LCM of Fractions 6030/480,9266/7530 is 931233

2 6030, 9266
3015, 4633

∴ So the LCM of the given numbers is 2 x 3015 x 4633 = 27936990

Least Common Multiple of 6030,9266 with GCF Formula

Least Common Multiple of 6030,9266 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 6030,9266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6030,9266) = 2

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

GCF(6030,9266) x common factors =2 x 1 = 2

LCM(6030,9266) = ( 6030 × 9266 ) / 2

LCM(6030,9266) = 55873980 / 2

LCM(6030,9266) = 27936990


Lets's calculate GCF of 480,7530

2 480, 7530
3 240, 3765
5 80, 1255
16, 251

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27936990/30

Therefore the LCM of Fractions 6030/480,9266/7530 is 931233

Greatest Common Factor of 480,7530 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,7530 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 7530

List of positive integer factors of 7530 that divides 7530 without a remainder.

1,2,3,5,6,10,15,30,251,502,753,1255,1506,2510,3765,7530

Greatest Common Factor

We found the factors 480,7530 . The biggest common factor number is the GCF number.
So the greatest common factor 480,7530 is 30.


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 6030/480, 9266/7530

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 6030/480, 9266/7530?

Answer: LCM of Numerators as per given numbers 6030/480, 9266/7530 is

LCM of Numerators i.e. for 6030,9266 is 27936990

GCF of denominators i.e. for 480,7530 is 30.

Thus, LCM of Fractions is 931233.Finally, LCM of Fractions for 6030/480, 9266/7530 is 931233.