Least Common Multiple of 34/583, 977/201, 442/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/583, 977/201, 442/174 quickly i.e. 431834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/583, 977/201, 442/174 is 431834.

LCM(34/583, 977/201, 442/174) = 431834

LCM of 34/583, 977/201, 442/174

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 34/583,977/201,442/174

Given numbers are 34/583,977/201,442/174

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 34,977,442

Least Common Multiple of Numerators i.e. LCM of 34,977,442 is 431834.

GCF of Denominators means GCF of 583,201,174 as per the given fractions.

GCF of 583,201,174 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,977,442

LCM of Fractions 34/583,977/201,442/174 is 431834

2 34, 977, 442
17 17, 977, 221
1, 977, 13

∴ So the LCM of the given numbers is 2 x 17 x 1 x 977 x 13 = 431834

Least Common Multiple of 34,977,442 with GCF Formula

Least Common Multiple of 34,977,442 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 34,977,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,977,442) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(34,977,442) x common factors =1 x 34 = 34

LCM(34,977,442) = ( 34 × 977 × 442 ) / 34

LCM(34,977,442) = 14682356 / 34

LCM(34,977,442) = 431834


Lets's calculate GCF of 583,201,174

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 431834/1

Therefore the LCM of Fractions 34/583,977/201,442/174 is 431834

Greatest Common Factor of 583,201,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,201,174 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 174

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

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

Greatest Common Factor

We found the factors 583,201,174 . The biggest common factor number is the GCF number.
So the greatest common factor 583,201,174 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 34/583, 977/201, 442/174

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 34/583, 977/201, 442/174?

Answer: LCM of Numerators as per given numbers 34/583, 977/201, 442/174 is

LCM of Numerators i.e. for 34,977,442 is 431834

GCF of denominators i.e. for 583,201,174 is 1.

Thus, LCM of Fractions is 431834.Finally, LCM of Fractions for 34/583, 977/201, 442/174 is 431834.