Least Common Multiple of 41/304, 60/846, 894/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/304, 60/846, 894/174 quickly i.e. 183270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/304, 60/846, 894/174 is 183270.

LCM(41/304, 60/846, 894/174) = 183270

LCM of 41/304, 60/846, 894/174

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 41/304,60/846,894/174

Given numbers are 41/304,60/846,894/174

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 41,60,894

Least Common Multiple of Numerators i.e. LCM of 41,60,894 is 366540.

GCF of Denominators means GCF of 304,846,174 as per the given fractions.

GCF of 304,846,174 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,60,894

LCM of Fractions 41/304,60/846,894/174 is 183270

2 41, 60, 894
3 41, 30, 447
41, 10, 149

∴ So the LCM of the given numbers is 2 x 3 x 41 x 10 x 149 = 366540

Least Common Multiple of 41,60,894 with GCF Formula

Least Common Multiple of 41,60,894 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 41,60,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,60,894) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(41,60,894) x common factors =1 x 6 = 6

LCM(41,60,894) = ( 41 × 60 × 894 ) / 6

LCM(41,60,894) = 2199240 / 6

LCM(41,60,894) = 366540


Lets's calculate GCF of 304,846,174

2 304, 846, 174
152, 423, 87

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366540/2

Therefore the LCM of Fractions 41/304,60/846,894/174 is 183270

Greatest Common Factor of 304,846,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,846,174 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

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 304,846,174 . The biggest common factor number is the GCF number.
So the greatest common factor 304,846,174 is 2.


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 41/304, 60/846, 894/174

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 41/304, 60/846, 894/174?

Answer: LCM of Numerators as per given numbers 41/304, 60/846, 894/174 is

LCM of Numerators i.e. for 41,60,894 is 366540

GCF of denominators i.e. for 304,846,174 is 2.

Thus, LCM of Fractions is 183270.Finally, LCM of Fractions for 41/304, 60/846, 894/174 is 183270.