Least Common Multiple of 50/254, 38/480, 447/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/254, 38/480, 447/758 quickly i.e. 212325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/254, 38/480, 447/758 is 212325.

LCM(50/254, 38/480, 447/758) = 212325

LCM of 50/254, 38/480, 447/758

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 50/254,38/480,447/758

Given numbers are 50/254,38/480,447/758

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 50,38,447

Least Common Multiple of Numerators i.e. LCM of 50,38,447 is 424650.

GCF of Denominators means GCF of 254,480,758 as per the given fractions.

GCF of 254,480,758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,38,447

LCM of Fractions 50/254,38/480,447/758 is 212325

2 50, 38, 447
25, 19, 447

∴ So the LCM of the given numbers is 2 x 25 x 19 x 447 = 424650

Least Common Multiple of 50,38,447 with GCF Formula

Least Common Multiple of 50,38,447 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 50,38,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,38,447) = 1

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

GCF(50,38,447) x common factors =1 x 2 = 2

LCM(50,38,447) = ( 50 × 38 × 447 ) / 2

LCM(50,38,447) = 849300 / 2

LCM(50,38,447) = 424650


Lets's calculate GCF of 254,480,758

2 254, 480, 758
127, 240, 379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 424650/2

Therefore the LCM of Fractions 50/254,38/480,447/758 is 212325

Greatest Common Factor of 254,480,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,480,758 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 254,480,758 . The biggest common factor number is the GCF number.
So the greatest common factor 254,480,758 is 2.


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 50/254, 38/480, 447/758

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 50/254, 38/480, 447/758?

Answer: LCM of Numerators as per given numbers 50/254, 38/480, 447/758 is

LCM of Numerators i.e. for 50,38,447 is 424650

GCF of denominators i.e. for 254,480,758 is 2.

Thus, LCM of Fractions is 212325.Finally, LCM of Fractions for 50/254, 38/480, 447/758 is 212325.