Least Common Multiple of 398/488, 6208/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/488, 6208/660 quickly i.e. 308848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/488, 6208/660 is 308848.

LCM(398/488, 6208/660) = 308848

LCM of 398/488, 6208/660

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 398/488,6208/660

Given numbers are 398/488,6208/660

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 398,6208

Least Common Multiple of Numerators i.e. LCM of 398,6208 is 1235392.

GCF of Denominators means GCF of 488,660 as per the given fractions.

GCF of 488,660 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,6208

LCM of Fractions 398/488,6208/660 is 308848

2 398, 6208
199, 3104

∴ So the LCM of the given numbers is 2 x 199 x 3104 = 1235392

Least Common Multiple of 398,6208 with GCF Formula

Least Common Multiple of 398,6208 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 398,6208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,6208) = 2

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

GCF(398,6208) x common factors =2 x 1 = 2

LCM(398,6208) = ( 398 × 6208 ) / 2

LCM(398,6208) = 2470784 / 2

LCM(398,6208) = 1235392


Lets's calculate GCF of 488,660

2 488, 660
2 244, 330
122, 165

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1235392/4

Therefore the LCM of Fractions 398/488,6208/660 is 308848

Greatest Common Factor of 488,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,660 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 488,660 . The biggest common factor number is the GCF number.
So the greatest common factor 488,660 is 4.


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 398/488, 6208/660

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 398/488, 6208/660?

Answer: LCM of Numerators as per given numbers 398/488, 6208/660 is

LCM of Numerators i.e. for 398,6208 is 1235392

GCF of denominators i.e. for 488,660 is 4.

Thus, LCM of Fractions is 308848.Finally, LCM of Fractions for 398/488, 6208/660 is 308848.