Least Common Multiple of 468/101, 990/380, 306/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/101, 990/380, 306/942 quickly i.e. 437580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/101, 990/380, 306/942 is 437580.

LCM(468/101, 990/380, 306/942) = 437580

LCM of 468/101, 990/380, 306/942

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 468/101,990/380,306/942

Given numbers are 468/101,990/380,306/942

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 468,990,306

Least Common Multiple of Numerators i.e. LCM of 468,990,306 is 437580.

GCF of Denominators means GCF of 101,380,942 as per the given fractions.

GCF of 101,380,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,990,306

LCM of Fractions 468/101,990/380,306/942 is 437580

2 468, 990, 306
3 234, 495, 153
3 78, 165, 51
26, 55, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 26 x 55 x 17 = 437580

Least Common Multiple of 468,990,306 with GCF Formula

Least Common Multiple of 468,990,306 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 468,990,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,990,306) = 18

common factors(in case of two or more numbers have common factors) = 18

GCF(468,990,306) x common factors =18 x 18 = 324

LCM(468,990,306) = ( 468 × 990 × 306 ) / 324

LCM(468,990,306) = 141775920 / 324

LCM(468,990,306) = 437580


Lets's calculate GCF of 101,380,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 437580/1

Therefore the LCM of Fractions 468/101,990/380,306/942 is 437580

Greatest Common Factor of 101,380,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,380,942 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 101,380,942 . The biggest common factor number is the GCF number.
So the greatest common factor 101,380,942 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 468/101, 990/380, 306/942

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 468/101, 990/380, 306/942?

Answer: LCM of Numerators as per given numbers 468/101, 990/380, 306/942 is

LCM of Numerators i.e. for 468,990,306 is 437580

GCF of denominators i.e. for 101,380,942 is 1.

Thus, LCM of Fractions is 437580.Finally, LCM of Fractions for 468/101, 990/380, 306/942 is 437580.