Least Common Multiple of 30/402, 1986/5085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/402, 1986/5085 quickly i.e. 3310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/402, 1986/5085 is 3310.

LCM(30/402, 1986/5085) = 3310

LCM of 30/402, 1986/5085

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 30/402,1986/5085

Given numbers are 30/402,1986/5085

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 30,1986

Least Common Multiple of Numerators i.e. LCM of 30,1986 is 9930.

GCF of Denominators means GCF of 402,5085 as per the given fractions.

GCF of 402,5085 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,1986

LCM of Fractions 30/402,1986/5085 is 3310

2 30, 1986
3 15, 993
5, 331

∴ So the LCM of the given numbers is 2 x 3 x 5 x 331 = 9930

Least Common Multiple of 30,1986 with GCF Formula

Least Common Multiple of 30,1986 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 30,1986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,1986) = 6

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

GCF(30,1986) x common factors =6 x 1 = 6

LCM(30,1986) = ( 30 × 1986 ) / 6

LCM(30,1986) = 59580 / 6

LCM(30,1986) = 9930


Lets's calculate GCF of 402,5085

3 402, 5085
134, 1695

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9930/3

Therefore the LCM of Fractions 30/402,1986/5085 is 3310

Greatest Common Factor of 402,5085 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,5085 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 5085

List of positive integer factors of 5085 that divides 5085 without a remainder.

1,3,5,9,15,45,113,339,565,1017,1695,5085

Greatest Common Factor

We found the factors 402,5085 . The biggest common factor number is the GCF number.
So the greatest common factor 402,5085 is 3.


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 30/402, 1986/5085

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 30/402, 1986/5085?

Answer: LCM of Numerators as per given numbers 30/402, 1986/5085 is

LCM of Numerators i.e. for 30,1986 is 9930

GCF of denominators i.e. for 402,5085 is 3.

Thus, LCM of Fractions is 3310.Finally, LCM of Fractions for 30/402, 1986/5085 is 3310.