Least Common Multiple of 74/241, 284/160, 804/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/241, 284/160, 804/690 quickly i.e. 2112108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/241, 284/160, 804/690 is 2112108.

LCM(74/241, 284/160, 804/690) = 2112108

LCM of 74/241, 284/160, 804/690

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 74/241,284/160,804/690

Given numbers are 74/241,284/160,804/690

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 74,284,804

Least Common Multiple of Numerators i.e. LCM of 74,284,804 is 2112108.

GCF of Denominators means GCF of 241,160,690 as per the given fractions.

GCF of 241,160,690 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,284,804

LCM of Fractions 74/241,284/160,804/690 is 2112108

2 74, 284, 804
2 37, 142, 402
37, 71, 201

∴ So the LCM of the given numbers is 2 x 2 x 37 x 71 x 201 = 2112108

Least Common Multiple of 74,284,804 with GCF Formula

Least Common Multiple of 74,284,804 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 74,284,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,284,804) = 2

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

GCF(74,284,804) x common factors =2 x 4 = 8

LCM(74,284,804) = ( 74 × 284 × 804 ) / 8

LCM(74,284,804) = 16896864 / 8

LCM(74,284,804) = 2112108


Lets's calculate GCF of 241,160,690

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2112108/1

Therefore the LCM of Fractions 74/241,284/160,804/690 is 2112108

Greatest Common Factor of 241,160,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,160,690 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 241,160,690 . The biggest common factor number is the GCF number.
So the greatest common factor 241,160,690 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 74/241, 284/160, 804/690

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 74/241, 284/160, 804/690?

Answer: LCM of Numerators as per given numbers 74/241, 284/160, 804/690 is

LCM of Numerators i.e. for 74,284,804 is 2112108

GCF of denominators i.e. for 241,160,690 is 1.

Thus, LCM of Fractions is 2112108.Finally, LCM of Fractions for 74/241, 284/160, 804/690 is 2112108.