Least Common Multiple of 119/188, 631/497, 352/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 119/188, 631/497, 352/874 quickly i.e. 26431328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 119/188, 631/497, 352/874 is 26431328.

LCM(119/188, 631/497, 352/874) = 26431328

LCM of 119/188, 631/497, 352/874

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 119/188,631/497,352/874

Given numbers are 119/188,631/497,352/874

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 119,631,352

Least Common Multiple of Numerators i.e. LCM of 119,631,352 is 26431328.

GCF of Denominators means GCF of 188,497,874 as per the given fractions.

GCF of 188,497,874 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 119,631,352

LCM of Fractions 119/188,631/497,352/874 is 26431328

Given numbers has no common factors except 1. So, there LCM is their product i.e 26431328

Least Common Multiple of 119,631,352 with GCF Formula

Least Common Multiple of 119,631,352 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 119,631,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,631,352) = 1

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

GCF(119,631,352) x common factors =1 x 1 = 1

LCM(119,631,352) = ( 119 × 631 × 352 ) / 1

LCM(119,631,352) = 26431328 / 1

LCM(119,631,352) = 26431328


Lets's calculate GCF of 188,497,874

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26431328/1

Therefore the LCM of Fractions 119/188,631/497,352/874 is 26431328

Greatest Common Factor of 188,497,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,497,874 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 188,497,874 . The biggest common factor number is the GCF number.
So the greatest common factor 188,497,874 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 119/188, 631/497, 352/874

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 119/188, 631/497, 352/874?

Answer: LCM of Numerators as per given numbers 119/188, 631/497, 352/874 is

LCM of Numerators i.e. for 119,631,352 is 26431328

GCF of denominators i.e. for 188,497,874 is 1.

Thus, LCM of Fractions is 26431328.Finally, LCM of Fractions for 119/188, 631/497, 352/874 is 26431328.