Least Common Multiple of 698/118, 666/888, 229/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/118, 666/888, 229/196 quickly i.e. 26613693 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/118, 666/888, 229/196 is 26613693.

LCM(698/118, 666/888, 229/196) = 26613693

LCM of 698/118, 666/888, 229/196

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 698/118,666/888,229/196

Given numbers are 698/118,666/888,229/196

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 698,666,229

Least Common Multiple of Numerators i.e. LCM of 698,666,229 is 53227386.

GCF of Denominators means GCF of 118,888,196 as per the given fractions.

GCF of 118,888,196 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,666,229

LCM of Fractions 698/118,666/888,229/196 is 26613693

2 698, 666, 229
349, 333, 229

∴ So the LCM of the given numbers is 2 x 349 x 333 x 229 = 53227386

Least Common Multiple of 698,666,229 with GCF Formula

Least Common Multiple of 698,666,229 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 698,666,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,666,229) = 1

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

GCF(698,666,229) x common factors =1 x 2 = 2

LCM(698,666,229) = ( 698 × 666 × 229 ) / 2

LCM(698,666,229) = 106454772 / 2

LCM(698,666,229) = 53227386


Lets's calculate GCF of 118,888,196

2 118, 888, 196
59, 444, 98

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53227386/2

Therefore the LCM of Fractions 698/118,666/888,229/196 is 26613693

Greatest Common Factor of 118,888,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,888,196 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 118,888,196 . The biggest common factor number is the GCF number.
So the greatest common factor 118,888,196 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 698/118, 666/888, 229/196

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 698/118, 666/888, 229/196?

Answer: LCM of Numerators as per given numbers 698/118, 666/888, 229/196 is

LCM of Numerators i.e. for 698,666,229 is 53227386

GCF of denominators i.e. for 118,888,196 is 2.

Thus, LCM of Fractions is 26613693.Finally, LCM of Fractions for 698/118, 666/888, 229/196 is 26613693.