Least Common Multiple of 142/46, 598/1228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/46, 598/1228 quickly i.e. 21229 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/46, 598/1228 is 21229.

LCM(142/46, 598/1228) = 21229

LCM of 142/46, 598/1228

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 142/46,598/1228

Given numbers are 142/46,598/1228

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 142,598

Least Common Multiple of Numerators i.e. LCM of 142,598 is 42458.

GCF of Denominators means GCF of 46,1228 as per the given fractions.

GCF of 46,1228 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,598

LCM of Fractions 142/46,598/1228 is 21229

2 142, 598
71, 299

∴ So the LCM of the given numbers is 2 x 71 x 299 = 42458

Least Common Multiple of 142,598 with GCF Formula

Least Common Multiple of 142,598 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 142,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,598) = 2

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

GCF(142,598) x common factors =2 x 1 = 2

LCM(142,598) = ( 142 × 598 ) / 2

LCM(142,598) = 84916 / 2

LCM(142,598) = 42458


Lets's calculate GCF of 46,1228

2 46, 1228
23, 614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42458/2

Therefore the LCM of Fractions 142/46,598/1228 is 21229

Greatest Common Factor of 46,1228 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,1228 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 1228

List of positive integer factors of 1228 that divides 1228 without a remainder.

1,2,4,307,614,1228

Greatest Common Factor

We found the factors 46,1228 . The biggest common factor number is the GCF number.
So the greatest common factor 46,1228 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 142/46, 598/1228

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 142/46, 598/1228?

Answer: LCM of Numerators as per given numbers 142/46, 598/1228 is

LCM of Numerators i.e. for 142,598 is 42458

GCF of denominators i.e. for 46,1228 is 2.

Thus, LCM of Fractions is 21229.Finally, LCM of Fractions for 142/46, 598/1228 is 21229.