Least Common Multiple of 142/248, 550/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/248, 550/768 quickly i.e. 39050/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/248, 550/768 is 39050/8.

LCM(142/248, 550/768) = 39050/8

LCM of 142/248, 550/768

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 142/248,550/768

Given numbers are 142/248,550/768

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 142,550

Least Common Multiple of Numerators i.e. LCM of 142,550 is 39050.

GCF of Denominators means GCF of 248,768 as per the given fractions.

GCF of 248,768 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,550

LCM of Fractions 142/248,550/768 is 39050/8

2 142, 550
71, 275

∴ So the LCM of the given numbers is 2 x 71 x 275 = 39050

Least Common Multiple of 142,550 with GCF Formula

Least Common Multiple of 142,550 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 142,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,550) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(142,550) x common factors =2 x 1 = 2

LCM(142,550) = ( 142 × 550 ) / 2

LCM(142,550) = 78100 / 2

LCM(142,550) = 39050


Lets's calculate GCF of 248,768

2 248, 768
2 124, 384
2 62, 192
31, 96

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39050/8

Therefore the LCM of Fractions 142/248,550/768 is 39050/8

Greatest Common Factor of 248,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,768 By Matching Biggest Common Factor Method

Factors of 248

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

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

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 248,768 . The biggest common factor number is the GCF number.
So the greatest common factor 248,768 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 142/248, 550/768

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 142/248, 550/768?

Answer: LCM of Numerators as per given numbers 142/248, 550/768 is

LCM of Numerators i.e. for 142,550 is 39050

GCF of denominators i.e. for 248,768 is 8.

Thus, LCM of Fractions is 39050/8.Finally, LCM of Fractions for 142/248, 550/768 is 39050/8.