Least Common Multiple of 461/34, 130/3960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 461/34, 130/3960 quickly i.e. 29965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 461/34, 130/3960 is 29965.

LCM(461/34, 130/3960) = 29965

LCM of 461/34, 130/3960

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 461/34,130/3960

Given numbers are 461/34,130/3960

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 461,130

Least Common Multiple of Numerators i.e. LCM of 461,130 is 59930.

GCF of Denominators means GCF of 34,3960 as per the given fractions.

GCF of 34,3960 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 461,130

LCM of Fractions 461/34,130/3960 is 29965

Given numbers has no common factors except 1. So, there LCM is their product i.e 59930

Least Common Multiple of 461,130 with GCF Formula

Least Common Multiple of 461,130 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 461,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,130) = 1

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

GCF(461,130) x common factors =1 x 1 = 1

LCM(461,130) = ( 461 × 130 ) / 1

LCM(461,130) = 59930 / 1

LCM(461,130) = 59930


Lets's calculate GCF of 34,3960

2 34, 3960
17, 1980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59930/2

Therefore the LCM of Fractions 461/34,130/3960 is 29965

Greatest Common Factor of 34,3960 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,3960 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 3960

List of positive integer factors of 3960 that divides 3960 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,18,20,22,24,30,33,36,40,44,45,55,60,66,72,88,90,99,110,120,132,165,180,198,220,264,330,360,396,440,495,660,792,990,1320,1980,3960

Greatest Common Factor

We found the factors 34,3960 . The biggest common factor number is the GCF number.
So the greatest common factor 34,3960 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 461/34, 130/3960

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 461/34, 130/3960?

Answer: LCM of Numerators as per given numbers 461/34, 130/3960 is

LCM of Numerators i.e. for 461,130 is 59930

GCF of denominators i.e. for 34,3960 is 2.

Thus, LCM of Fractions is 29965.Finally, LCM of Fractions for 461/34, 130/3960 is 29965.