Least Common Multiple of 750/48, 771/33, 549/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/48, 771/33, 549/382 quickly i.e. 35273250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/48, 771/33, 549/382 is 35273250.

LCM(750/48, 771/33, 549/382) = 35273250

LCM of 750/48, 771/33, 549/382

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 750/48,771/33,549/382

Given numbers are 750/48,771/33,549/382

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 750,771,549

Least Common Multiple of Numerators i.e. LCM of 750,771,549 is 35273250.

GCF of Denominators means GCF of 48,33,382 as per the given fractions.

GCF of 48,33,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,771,549

LCM of Fractions 750/48,771/33,549/382 is 35273250

3 750, 771, 549
250, 257, 183

∴ So the LCM of the given numbers is 3 x 250 x 257 x 183 = 35273250

Least Common Multiple of 750,771,549 with GCF Formula

Least Common Multiple of 750,771,549 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 750,771,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,771,549) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(750,771,549) x common factors =3 x 3 = 9

LCM(750,771,549) = ( 750 × 771 × 549 ) / 9

LCM(750,771,549) = 317459250 / 9

LCM(750,771,549) = 35273250


Lets's calculate GCF of 48,33,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35273250/1

Therefore the LCM of Fractions 750/48,771/33,549/382 is 35273250

Greatest Common Factor of 48,33,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,33,382 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 48,33,382 . The biggest common factor number is the GCF number.
So the greatest common factor 48,33,382 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 750/48, 771/33, 549/382

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 750/48, 771/33, 549/382?

Answer: LCM of Numerators as per given numbers 750/48, 771/33, 549/382 is

LCM of Numerators i.e. for 750,771,549 is 35273250

GCF of denominators i.e. for 48,33,382 is 1.

Thus, LCM of Fractions is 35273250.Finally, LCM of Fractions for 750/48, 771/33, 549/382 is 35273250.