Least Common Multiple of 161/574, 874/329, 201/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 161/574, 874/329, 201/997 quickly i.e. 1229718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 161/574, 874/329, 201/997 is 1229718.

LCM(161/574, 874/329, 201/997) = 1229718

LCM of 161/574, 874/329, 201/997

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 161/574,874/329,201/997

Given numbers are 161/574,874/329,201/997

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 161,874,201

Least Common Multiple of Numerators i.e. LCM of 161,874,201 is 1229718.

GCF of Denominators means GCF of 574,329,997 as per the given fractions.

GCF of 574,329,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 161,874,201

LCM of Fractions 161/574,874/329,201/997 is 1229718

23 161, 874, 201
7, 38, 201

∴ So the LCM of the given numbers is 23 x 7 x 38 x 201 = 1229718

Least Common Multiple of 161,874,201 with GCF Formula

Least Common Multiple of 161,874,201 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 161,874,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(161,874,201) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(161,874,201) x common factors =1 x 23 = 23

LCM(161,874,201) = ( 161 × 874 × 201 ) / 23

LCM(161,874,201) = 28283514 / 23

LCM(161,874,201) = 1229718


Lets's calculate GCF of 574,329,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1229718/1

Therefore the LCM of Fractions 161/574,874/329,201/997 is 1229718

Greatest Common Factor of 574,329,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,329,997 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 574,329,997 . The biggest common factor number is the GCF number.
So the greatest common factor 574,329,997 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 161/574, 874/329, 201/997

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 161/574, 874/329, 201/997?

Answer: LCM of Numerators as per given numbers 161/574, 874/329, 201/997 is

LCM of Numerators i.e. for 161,874,201 is 1229718

GCF of denominators i.e. for 574,329,997 is 1.

Thus, LCM of Fractions is 1229718.Finally, LCM of Fractions for 161/574, 874/329, 201/997 is 1229718.