Least Common Multiple of 988/58, 2223/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 988/58, 2223/314 quickly i.e. 4446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/58, 2223/314 is 4446.

LCM(988/58, 2223/314) = 4446

LCM of 988/58, 2223/314

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 988/58,2223/314

Given numbers are 988/58,2223/314

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 988,2223

Least Common Multiple of Numerators i.e. LCM of 988,2223 is 8892.

GCF of Denominators means GCF of 58,314 as per the given fractions.

GCF of 58,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,2223

LCM of Fractions 988/58,2223/314 is 4446

13 988, 2223
19 76, 171
4, 9

∴ So the LCM of the given numbers is 13 x 19 x 4 x 9 = 8892

Least Common Multiple of 988,2223 with GCF Formula

Least Common Multiple of 988,2223 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 988,2223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,2223) = 247

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

GCF(988,2223) x common factors =247 x 1 = 247

LCM(988,2223) = ( 988 × 2223 ) / 247

LCM(988,2223) = 2196324 / 247

LCM(988,2223) = 8892


Lets's calculate GCF of 58,314

2 58, 314
29, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8892/2

Therefore the LCM of Fractions 988/58,2223/314 is 4446

Greatest Common Factor of 58,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,314 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 58,314 . The biggest common factor number is the GCF number.
So the greatest common factor 58,314 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 988/58, 2223/314

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 988/58, 2223/314?

Answer: LCM of Numerators as per given numbers 988/58, 2223/314 is

LCM of Numerators i.e. for 988,2223 is 8892

GCF of denominators i.e. for 58,314 is 2.

Thus, LCM of Fractions is 4446.Finally, LCM of Fractions for 988/58, 2223/314 is 4446.