Least Common Multiple of 46/149, 82/560, 404/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/149, 82/560, 404/571 quickly i.e. 380972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/149, 82/560, 404/571 is 380972.

LCM(46/149, 82/560, 404/571) = 380972

LCM of 46/149, 82/560, 404/571

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 46/149,82/560,404/571

Given numbers are 46/149,82/560,404/571

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 46,82,404

Least Common Multiple of Numerators i.e. LCM of 46,82,404 is 380972.

GCF of Denominators means GCF of 149,560,571 as per the given fractions.

GCF of 149,560,571 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,82,404

LCM of Fractions 46/149,82/560,404/571 is 380972

2 46, 82, 404
23, 41, 202

∴ So the LCM of the given numbers is 2 x 23 x 41 x 202 = 380972

Least Common Multiple of 46,82,404 with GCF Formula

Least Common Multiple of 46,82,404 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 46,82,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,82,404) = 2

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

GCF(46,82,404) x common factors =2 x 2 = 4

LCM(46,82,404) = ( 46 × 82 × 404 ) / 4

LCM(46,82,404) = 1523888 / 4

LCM(46,82,404) = 380972


Lets's calculate GCF of 149,560,571

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 380972/1

Therefore the LCM of Fractions 46/149,82/560,404/571 is 380972

Greatest Common Factor of 149,560,571 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,560,571 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Greatest Common Factor

We found the factors 149,560,571 . The biggest common factor number is the GCF number.
So the greatest common factor 149,560,571 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 46/149, 82/560, 404/571

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 46/149, 82/560, 404/571?

Answer: LCM of Numerators as per given numbers 46/149, 82/560, 404/571 is

LCM of Numerators i.e. for 46,82,404 is 380972

GCF of denominators i.e. for 149,560,571 is 1.

Thus, LCM of Fractions is 380972.Finally, LCM of Fractions for 46/149, 82/560, 404/571 is 380972.