Least Common Multiple of 33/328, 275/392, 751/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/328, 275/392, 751/248 quickly i.e. 619575/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/328, 275/392, 751/248 is 619575/8.

LCM(33/328, 275/392, 751/248) = 619575/8

LCM of 33/328, 275/392, 751/248

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 33/328,275/392,751/248

Given numbers are 33/328,275/392,751/248

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 33,275,751

Least Common Multiple of Numerators i.e. LCM of 33,275,751 is 619575.

GCF of Denominators means GCF of 328,392,248 as per the given fractions.

GCF of 328,392,248 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,275,751

LCM of Fractions 33/328,275/392,751/248 is 619575/8

11 33, 275, 751
3, 25, 751

∴ So the LCM of the given numbers is 11 x 3 x 25 x 751 = 619575

Least Common Multiple of 33,275,751 with GCF Formula

Least Common Multiple of 33,275,751 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 33,275,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,275,751) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(33,275,751) x common factors =1 x 11 = 11

LCM(33,275,751) = ( 33 × 275 × 751 ) / 11

LCM(33,275,751) = 6815325 / 11

LCM(33,275,751) = 619575


Lets's calculate GCF of 328,392,248

2 328, 392, 248
2 164, 196, 124
2 82, 98, 62
41, 49, 31

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 619575/8

Therefore the LCM of Fractions 33/328,275/392,751/248 is 619575/8

Greatest Common Factor of 328,392,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,392,248 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 328,392,248 . The biggest common factor number is the GCF number.
So the greatest common factor 328,392,248 is 8.


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 33/328, 275/392, 751/248

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 33/328, 275/392, 751/248?

Answer: LCM of Numerators as per given numbers 33/328, 275/392, 751/248 is

LCM of Numerators i.e. for 33,275,751 is 619575

GCF of denominators i.e. for 328,392,248 is 8.

Thus, LCM of Fractions is 619575/8.Finally, LCM of Fractions for 33/328, 275/392, 751/248 is 619575/8.