Least Common Multiple of 492/71, 606/3160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/71, 606/3160 quickly i.e. 49692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/71, 606/3160 is 49692.

LCM(492/71, 606/3160) = 49692

LCM of 492/71, 606/3160

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 492/71,606/3160

Given numbers are 492/71,606/3160

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 492,606

Least Common Multiple of Numerators i.e. LCM of 492,606 is 49692.

GCF of Denominators means GCF of 71,3160 as per the given fractions.

GCF of 71,3160 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,606

LCM of Fractions 492/71,606/3160 is 49692

2 492, 606
3 246, 303
82, 101

∴ So the LCM of the given numbers is 2 x 3 x 82 x 101 = 49692

Least Common Multiple of 492,606 with GCF Formula

Least Common Multiple of 492,606 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 492,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,606) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(492,606) x common factors =6 x 1 = 6

LCM(492,606) = ( 492 × 606 ) / 6

LCM(492,606) = 298152 / 6

LCM(492,606) = 49692


Lets's calculate GCF of 71,3160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49692/1

Therefore the LCM of Fractions 492/71,606/3160 is 49692

Greatest Common Factor of 71,3160 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,3160 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 3160

List of positive integer factors of 3160 that divides 3160 without a remainder.

1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160

Greatest Common Factor

We found the factors 71,3160 . The biggest common factor number is the GCF number.
So the greatest common factor 71,3160 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 492/71, 606/3160

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 492/71, 606/3160?

Answer: LCM of Numerators as per given numbers 492/71, 606/3160 is

LCM of Numerators i.e. for 492,606 is 49692

GCF of denominators i.e. for 71,3160 is 1.

Thus, LCM of Fractions is 49692.Finally, LCM of Fractions for 492/71, 606/3160 is 49692.