Least Common Multiple of 228/98, 344/1461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/98, 344/1461 quickly i.e. 19608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/98, 344/1461 is 19608.

LCM(228/98, 344/1461) = 19608

LCM of 228/98, 344/1461

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 228/98,344/1461

Given numbers are 228/98,344/1461

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 228,344

Least Common Multiple of Numerators i.e. LCM of 228,344 is 19608.

GCF of Denominators means GCF of 98,1461 as per the given fractions.

GCF of 98,1461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,344

LCM of Fractions 228/98,344/1461 is 19608

2 228, 344
2 114, 172
57, 86

∴ So the LCM of the given numbers is 2 x 2 x 57 x 86 = 19608

Least Common Multiple of 228,344 with GCF Formula

Least Common Multiple of 228,344 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 228,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,344) = 4

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

GCF(228,344) x common factors =4 x 1 = 4

LCM(228,344) = ( 228 × 344 ) / 4

LCM(228,344) = 78432 / 4

LCM(228,344) = 19608


Lets's calculate GCF of 98,1461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19608/1

Therefore the LCM of Fractions 228/98,344/1461 is 19608

Greatest Common Factor of 98,1461 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,1461 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 1461

List of positive integer factors of 1461 that divides 1461 without a remainder.

1,3,487,1461

Greatest Common Factor

We found the factors 98,1461 . The biggest common factor number is the GCF number.
So the greatest common factor 98,1461 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 228/98, 344/1461

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 228/98, 344/1461?

Answer: LCM of Numerators as per given numbers 228/98, 344/1461 is

LCM of Numerators i.e. for 228,344 is 19608

GCF of denominators i.e. for 98,1461 is 1.

Thus, LCM of Fractions is 19608.Finally, LCM of Fractions for 228/98, 344/1461 is 19608.