Least Common Multiple of 97/174, 733/431, 428/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/174, 733/431, 428/833 quickly i.e. 30431228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/174, 733/431, 428/833 is 30431228.

LCM(97/174, 733/431, 428/833) = 30431228

LCM of 97/174, 733/431, 428/833

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 97/174,733/431,428/833

Given numbers are 97/174,733/431,428/833

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 97,733,428

Least Common Multiple of Numerators i.e. LCM of 97,733,428 is 30431228.

GCF of Denominators means GCF of 174,431,833 as per the given fractions.

GCF of 174,431,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,733,428

LCM of Fractions 97/174,733/431,428/833 is 30431228

Given numbers has no common factors except 1. So, there LCM is their product i.e 30431228

Least Common Multiple of 97,733,428 with GCF Formula

Least Common Multiple of 97,733,428 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 97,733,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,733,428) = 1

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

GCF(97,733,428) x common factors =1 x 1 = 1

LCM(97,733,428) = ( 97 × 733 × 428 ) / 1

LCM(97,733,428) = 30431228 / 1

LCM(97,733,428) = 30431228


Lets's calculate GCF of 174,431,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30431228/1

Therefore the LCM of Fractions 97/174,733/431,428/833 is 30431228

Greatest Common Factor of 174,431,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,431,833 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 833

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

1,7,17,49,119,833

Greatest Common Factor

We found the factors 174,431,833 . The biggest common factor number is the GCF number.
So the greatest common factor 174,431,833 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 97/174, 733/431, 428/833

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 97/174, 733/431, 428/833?

Answer: LCM of Numerators as per given numbers 97/174, 733/431, 428/833 is

LCM of Numerators i.e. for 97,733,428 is 30431228

GCF of denominators i.e. for 174,431,833 is 1.

Thus, LCM of Fractions is 30431228.Finally, LCM of Fractions for 97/174, 733/431, 428/833 is 30431228.