Least Common Multiple of 461/185, 588/182, 310/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 461/185, 588/182, 310/141 quickly i.e. 42015540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 461/185, 588/182, 310/141 is 42015540.

LCM(461/185, 588/182, 310/141) = 42015540

LCM of 461/185, 588/182, 310/141

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 461/185,588/182,310/141

Given numbers are 461/185,588/182,310/141

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 461,588,310

Least Common Multiple of Numerators i.e. LCM of 461,588,310 is 42015540.

GCF of Denominators means GCF of 185,182,141 as per the given fractions.

GCF of 185,182,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 461,588,310

LCM of Fractions 461/185,588/182,310/141 is 42015540

2 461, 588, 310
461, 294, 155

∴ So the LCM of the given numbers is 2 x 461 x 294 x 155 = 42015540

Least Common Multiple of 461,588,310 with GCF Formula

Least Common Multiple of 461,588,310 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 461,588,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,588,310) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(461,588,310) x common factors =1 x 2 = 2

LCM(461,588,310) = ( 461 × 588 × 310 ) / 2

LCM(461,588,310) = 84031080 / 2

LCM(461,588,310) = 42015540


Lets's calculate GCF of 185,182,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42015540/1

Therefore the LCM of Fractions 461/185,588/182,310/141 is 42015540

Greatest Common Factor of 185,182,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,182,141 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 185,182,141 . The biggest common factor number is the GCF number.
So the greatest common factor 185,182,141 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 461/185, 588/182, 310/141

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 461/185, 588/182, 310/141?

Answer: LCM of Numerators as per given numbers 461/185, 588/182, 310/141 is

LCM of Numerators i.e. for 461,588,310 is 42015540

GCF of denominators i.e. for 185,182,141 is 1.

Thus, LCM of Fractions is 42015540.Finally, LCM of Fractions for 461/185, 588/182, 310/141 is 42015540.