Least Common Multiple of 178/198, 928/727, 596/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 178/198, 928/727, 596/658 quickly i.e. 12306208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 178/198, 928/727, 596/658 is 12306208.

LCM(178/198, 928/727, 596/658) = 12306208

LCM of 178/198, 928/727, 596/658

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 178/198,928/727,596/658

Given numbers are 178/198,928/727,596/658

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 178,928,596

Least Common Multiple of Numerators i.e. LCM of 178,928,596 is 12306208.

GCF of Denominators means GCF of 198,727,658 as per the given fractions.

GCF of 198,727,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 178,928,596

LCM of Fractions 178/198,928/727,596/658 is 12306208

2 178, 928, 596
2 89, 464, 298
89, 232, 149

∴ So the LCM of the given numbers is 2 x 2 x 89 x 232 x 149 = 12306208

Least Common Multiple of 178,928,596 with GCF Formula

Least Common Multiple of 178,928,596 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 178,928,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,928,596) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(178,928,596) x common factors =2 x 4 = 8

LCM(178,928,596) = ( 178 × 928 × 596 ) / 8

LCM(178,928,596) = 98449664 / 8

LCM(178,928,596) = 12306208


Lets's calculate GCF of 198,727,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12306208/1

Therefore the LCM of Fractions 178/198,928/727,596/658 is 12306208

Greatest Common Factor of 198,727,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,727,658 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 198,727,658 . The biggest common factor number is the GCF number.
So the greatest common factor 198,727,658 is 1.


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 178/198, 928/727, 596/658

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 178/198, 928/727, 596/658?

Answer: LCM of Numerators as per given numbers 178/198, 928/727, 596/658 is

LCM of Numerators i.e. for 178,928,596 is 12306208

GCF of denominators i.e. for 198,727,658 is 1.

Thus, LCM of Fractions is 12306208.Finally, LCM of Fractions for 178/198, 928/727, 596/658 is 12306208.