Least Common Multiple of 9552/960, 3352/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9552/960, 3352/528 quickly i.e. 83381 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9552/960, 3352/528 is 83381.

LCM(9552/960, 3352/528) = 83381

LCM of 9552/960, 3352/528

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 9552/960,3352/528

Given numbers are 9552/960,3352/528

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 9552,3352

Least Common Multiple of Numerators i.e. LCM of 9552,3352 is 4002288.

GCF of Denominators means GCF of 960,528 as per the given fractions.

GCF of 960,528 is 48 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9552,3352

LCM of Fractions 9552/960,3352/528 is 83381

2 9552, 3352
2 4776, 1676
2 2388, 838
1194, 419

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1194 x 419 = 4002288

Least Common Multiple of 9552,3352 with GCF Formula

Least Common Multiple of 9552,3352 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 9552,3352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9552,3352) = 8

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

GCF(9552,3352) x common factors =8 x 1 = 8

LCM(9552,3352) = ( 9552 × 3352 ) / 8

LCM(9552,3352) = 32018304 / 8

LCM(9552,3352) = 4002288


Lets's calculate GCF of 960,528

2 960, 528
2 480, 264
2 240, 132
2 120, 66
3 60, 33
20, 11

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4002288/48

Therefore the LCM of Fractions 9552/960,3352/528 is 83381

Greatest Common Factor of 960,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,528 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 960,528 . The biggest common factor number is the GCF number.
So the greatest common factor 960,528 is 48.


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 9552/960, 3352/528

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 9552/960, 3352/528?

Answer: LCM of Numerators as per given numbers 9552/960, 3352/528 is

LCM of Numerators i.e. for 9552,3352 is 4002288

GCF of denominators i.e. for 960,528 is 48.

Thus, LCM of Fractions is 83381.Finally, LCM of Fractions for 9552/960, 3352/528 is 83381.