Least Common Multiple of 898/833, 398/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 898/833, 398/123 quickly i.e. 178702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 898/833, 398/123 is 178702.

LCM(898/833, 398/123) = 178702

LCM of 898/833, 398/123

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 898/833,398/123

Given numbers are 898/833,398/123

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 898,398

Least Common Multiple of Numerators i.e. LCM of 898,398 is 178702.

GCF of Denominators means GCF of 833,123 as per the given fractions.

GCF of 833,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 898,398

LCM of Fractions 898/833,398/123 is 178702

2 898, 398
449, 199

∴ So the LCM of the given numbers is 2 x 449 x 199 = 178702

Least Common Multiple of 898,398 with GCF Formula

Least Common Multiple of 898,398 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 898,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,398) = 2

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

GCF(898,398) x common factors =2 x 1 = 2

LCM(898,398) = ( 898 × 398 ) / 2

LCM(898,398) = 357404 / 2

LCM(898,398) = 178702


Lets's calculate GCF of 833,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178702/1

Therefore the LCM of Fractions 898/833,398/123 is 178702

Greatest Common Factor of 833,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,123 By Matching Biggest Common Factor Method

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 833,123 . The biggest common factor number is the GCF number.
So the greatest common factor 833,123 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 898/833, 398/123

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 898/833, 398/123?

Answer: LCM of Numerators as per given numbers 898/833, 398/123 is

LCM of Numerators i.e. for 898,398 is 178702

GCF of denominators i.e. for 833,123 is 1.

Thus, LCM of Fractions is 178702.Finally, LCM of Fractions for 898/833, 398/123 is 178702.