Least Common Multiple of 528/480, 9265/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/480, 9265/840 quickly i.e. 40766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/480, 9265/840 is 40766.

LCM(528/480, 9265/840) = 40766

LCM of 528/480, 9265/840

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 528/480,9265/840

Given numbers are 528/480,9265/840

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 528,9265

Least Common Multiple of Numerators i.e. LCM of 528,9265 is 4891920.

GCF of Denominators means GCF of 480,840 as per the given fractions.

GCF of 480,840 is 120 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,9265

LCM of Fractions 528/480,9265/840 is 40766

Given numbers has no common factors except 1. So, there LCM is their product i.e 4891920

Least Common Multiple of 528,9265 with GCF Formula

Least Common Multiple of 528,9265 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 528,9265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,9265) = 1

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

GCF(528,9265) x common factors =1 x 1 = 1

LCM(528,9265) = ( 528 × 9265 ) / 1

LCM(528,9265) = 4891920 / 1

LCM(528,9265) = 4891920


Lets's calculate GCF of 480,840

2 480, 840
2 240, 420
2 120, 210
3 60, 105
5 20, 35
4, 7

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 5 = 120

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4891920/120

Therefore the LCM of Fractions 528/480,9265/840 is 40766

Greatest Common Factor of 480,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,840 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 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 480,840 . The biggest common factor number is the GCF number.
So the greatest common factor 480,840 is 120.


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 528/480, 9265/840

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 528/480, 9265/840?

Answer: LCM of Numerators as per given numbers 528/480, 9265/840 is

LCM of Numerators i.e. for 528,9265 is 4891920

GCF of denominators i.e. for 480,840 is 120.

Thus, LCM of Fractions is 40766.Finally, LCM of Fractions for 528/480, 9265/840 is 40766.