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Least Common Multiple of 976/32, 298/69, 486/275

Know Least Common Multiple of fractions 976/32, 298/69, 486/275 quickly i.e. 35338032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/32, 298/69, 486/275 is 35338032.

LCM(976/32, 298/69, 486/275) = 35338032

LCM of 976/32, 298/69, 486/275

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 976/32,298/69,486/275

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 976,298,486

Least Common Multiple of Numerators i.e. LCM of 976,298,486 is 35338032.

GCF of Denominators means GCF of 32,69,275 as per the given fractions.

GCF of 32,69,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,298,486

Least Common Multiple (LCM) of 976,298,486 By Common Division

2 976, 298, 486
488, 149, 243

∴ So the LCM of the given numbers is 2 x 488 x 149 x 243 = 35338032

Least Common Multiple of 976,298,486 with GCF Formula

Least Common Multiple of 976,298,486 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 976,298,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,298,486) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(976,298,486) x common factors =2 x 2 = 4

LCM(976,298,486) = ( 976 × 298 × 486 ) / 4

LCM(976,298,486) = 141352128 / 4

LCM(976,298,486) = 35338032


Lets's calculate GCF of 32,69,275

Greatest Common Factor (GCF) of 32,69,275 By Common Division

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35338032/1

Therefore the LCM of Fractions 976/32,298/69,486/275 is 35338032

Greatest Common Factor of 32,69,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,69,275 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 32,69,275 . The biggest common factor number is the GCF number.
So the greatest common factor 32,69,275 is 1.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 976/32, 298/69, 486/275

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 976/32, 298/69, 486/275?

Answer: LCM of Numerators as per given numbers 976/32, 298/69, 486/275 is

LCM of Numerators i.e. for 976,298,486 is 35338032

GCF of denominators i.e. for 32,69,275 is 1.

Thus, LCM of Fractions is 35338032.Finally, LCM of Fractions for 976/32, 298/69, 486/275 is 35338032.