Least Common Multiple of 882/974, 6528/8267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 882/974, 6528/8267 quickly i.e. 959616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/974, 6528/8267 is 959616.

LCM(882/974, 6528/8267) = 959616

LCM of 882/974, 6528/8267

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 882/974,6528/8267

Given numbers are 882/974,6528/8267

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 882,6528

Least Common Multiple of Numerators i.e. LCM of 882,6528 is 959616.

GCF of Denominators means GCF of 974,8267 as per the given fractions.

GCF of 974,8267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,6528

LCM of Fractions 882/974,6528/8267 is 959616

2 882, 6528
3 441, 3264
147, 1088

∴ So the LCM of the given numbers is 2 x 3 x 147 x 1088 = 959616

Least Common Multiple of 882,6528 with GCF Formula

Least Common Multiple of 882,6528 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 882,6528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,6528) = 6

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

GCF(882,6528) x common factors =6 x 1 = 6

LCM(882,6528) = ( 882 × 6528 ) / 6

LCM(882,6528) = 5757696 / 6

LCM(882,6528) = 959616


Lets's calculate GCF of 974,8267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 959616/1

Therefore the LCM of Fractions 882/974,6528/8267 is 959616

Greatest Common Factor of 974,8267 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,8267 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 8267

List of positive integer factors of 8267 that divides 8267 without a remainder.

1,7,1181,8267

Greatest Common Factor

We found the factors 974,8267 . The biggest common factor number is the GCF number.
So the greatest common factor 974,8267 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 882/974, 6528/8267

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 882/974, 6528/8267?

Answer: LCM of Numerators as per given numbers 882/974, 6528/8267 is

LCM of Numerators i.e. for 882,6528 is 959616

GCF of denominators i.e. for 974,8267 is 1.

Thus, LCM of Fractions is 959616.Finally, LCM of Fractions for 882/974, 6528/8267 is 959616.