Least Common Multiple of 30/882, 6888/9528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/882, 6888/9528 quickly i.e. 5740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/882, 6888/9528 is 5740.

LCM(30/882, 6888/9528) = 5740

LCM of 30/882, 6888/9528

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 30/882,6888/9528

Given numbers are 30/882,6888/9528

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 30,6888

Least Common Multiple of Numerators i.e. LCM of 30,6888 is 34440.

GCF of Denominators means GCF of 882,9528 as per the given fractions.

GCF of 882,9528 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,6888

LCM of Fractions 30/882,6888/9528 is 5740

2 30, 6888
3 15, 3444
5, 1148

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1148 = 34440

Least Common Multiple of 30,6888 with GCF Formula

Least Common Multiple of 30,6888 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 30,6888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,6888) = 6

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

GCF(30,6888) x common factors =6 x 1 = 6

LCM(30,6888) = ( 30 × 6888 ) / 6

LCM(30,6888) = 206640 / 6

LCM(30,6888) = 34440


Lets's calculate GCF of 882,9528

2 882, 9528
3 441, 4764
147, 1588

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34440/6

Therefore the LCM of Fractions 30/882,6888/9528 is 5740

Greatest Common Factor of 882,9528 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,9528 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 9528

List of positive integer factors of 9528 that divides 9528 without a remainder.

1,2,3,4,6,8,12,24,397,794,1191,1588,2382,3176,4764,9528

Greatest Common Factor

We found the factors 882,9528 . The biggest common factor number is the GCF number.
So the greatest common factor 882,9528 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 30/882, 6888/9528

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 30/882, 6888/9528?

Answer: LCM of Numerators as per given numbers 30/882, 6888/9528 is

LCM of Numerators i.e. for 30,6888 is 34440

GCF of denominators i.e. for 882,9528 is 6.

Thus, LCM of Fractions is 5740.Finally, LCM of Fractions for 30/882, 6888/9528 is 5740.