Least Common Multiple of 398/68, 908/14, 229/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/68, 908/14, 229/752 quickly i.e. 20689234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/68, 908/14, 229/752 is 20689234.

LCM(398/68, 908/14, 229/752) = 20689234

LCM of 398/68, 908/14, 229/752

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 398/68,908/14,229/752

Given numbers are 398/68,908/14,229/752

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 398,908,229

Least Common Multiple of Numerators i.e. LCM of 398,908,229 is 41378468.

GCF of Denominators means GCF of 68,14,752 as per the given fractions.

GCF of 68,14,752 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,908,229

LCM of Fractions 398/68,908/14,229/752 is 20689234

2 398, 908, 229
199, 454, 229

∴ So the LCM of the given numbers is 2 x 199 x 454 x 229 = 41378468

Least Common Multiple of 398,908,229 with GCF Formula

Least Common Multiple of 398,908,229 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 398,908,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,908,229) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(398,908,229) x common factors =1 x 2 = 2

LCM(398,908,229) = ( 398 × 908 × 229 ) / 2

LCM(398,908,229) = 82756936 / 2

LCM(398,908,229) = 41378468


Lets's calculate GCF of 68,14,752

2 68, 14, 752
34, 7, 376

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41378468/2

Therefore the LCM of Fractions 398/68,908/14,229/752 is 20689234

Greatest Common Factor of 68,14,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,14,752 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 68,14,752 . The biggest common factor number is the GCF number.
So the greatest common factor 68,14,752 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 398/68, 908/14, 229/752

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 398/68, 908/14, 229/752?

Answer: LCM of Numerators as per given numbers 398/68, 908/14, 229/752 is

LCM of Numerators i.e. for 398,908,229 is 41378468

GCF of denominators i.e. for 68,14,752 is 2.

Thus, LCM of Fractions is 20689234.Finally, LCM of Fractions for 398/68, 908/14, 229/752 is 20689234.