Least Common Multiple of 96/449, 50/417, 438/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/449, 50/417, 438/548 quickly i.e. 175200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/449, 50/417, 438/548 is 175200.

LCM(96/449, 50/417, 438/548) = 175200

LCM of 96/449, 50/417, 438/548

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 96/449,50/417,438/548

Given numbers are 96/449,50/417,438/548

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 96,50,438

Least Common Multiple of Numerators i.e. LCM of 96,50,438 is 175200.

GCF of Denominators means GCF of 449,417,548 as per the given fractions.

GCF of 449,417,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,50,438

LCM of Fractions 96/449,50/417,438/548 is 175200

2 96, 50, 438
3 48, 25, 219
16, 25, 73

∴ So the LCM of the given numbers is 2 x 3 x 16 x 25 x 73 = 175200

Least Common Multiple of 96,50,438 with GCF Formula

Least Common Multiple of 96,50,438 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 96,50,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,50,438) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(96,50,438) x common factors =2 x 6 = 12

LCM(96,50,438) = ( 96 × 50 × 438 ) / 12

LCM(96,50,438) = 2102400 / 12

LCM(96,50,438) = 175200


Lets's calculate GCF of 449,417,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175200/1

Therefore the LCM of Fractions 96/449,50/417,438/548 is 175200

Greatest Common Factor of 449,417,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,417,548 By Matching Biggest Common Factor Method

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 449,417,548 . The biggest common factor number is the GCF number.
So the greatest common factor 449,417,548 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 96/449, 50/417, 438/548

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 96/449, 50/417, 438/548?

Answer: LCM of Numerators as per given numbers 96/449, 50/417, 438/548 is

LCM of Numerators i.e. for 96,50,438 is 175200

GCF of denominators i.e. for 449,417,548 is 1.

Thus, LCM of Fractions is 175200.Finally, LCM of Fractions for 96/449, 50/417, 438/548 is 175200.