Least Common Multiple of 76/468, 353/706, 818/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/468, 353/706, 818/270 quickly i.e. 5486326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/468, 353/706, 818/270 is 5486326.

LCM(76/468, 353/706, 818/270) = 5486326

LCM of 76/468, 353/706, 818/270

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 76/468,353/706,818/270

Given numbers are 76/468,353/706,818/270

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 76,353,818

Least Common Multiple of Numerators i.e. LCM of 76,353,818 is 10972652.

GCF of Denominators means GCF of 468,706,270 as per the given fractions.

GCF of 468,706,270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,353,818

LCM of Fractions 76/468,353/706,818/270 is 5486326

2 76, 353, 818
38, 353, 409

∴ So the LCM of the given numbers is 2 x 38 x 353 x 409 = 10972652

Least Common Multiple of 76,353,818 with GCF Formula

Least Common Multiple of 76,353,818 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 76,353,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,353,818) = 1

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

GCF(76,353,818) x common factors =1 x 2 = 2

LCM(76,353,818) = ( 76 × 353 × 818 ) / 2

LCM(76,353,818) = 21945304 / 2

LCM(76,353,818) = 10972652


Lets's calculate GCF of 468,706,270

2 468, 706, 270
234, 353, 135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10972652/2

Therefore the LCM of Fractions 76/468,353/706,818/270 is 5486326

Greatest Common Factor of 468,706,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,706,270 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 468,706,270 . The biggest common factor number is the GCF number.
So the greatest common factor 468,706,270 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 76/468, 353/706, 818/270

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 76/468, 353/706, 818/270?

Answer: LCM of Numerators as per given numbers 76/468, 353/706, 818/270 is

LCM of Numerators i.e. for 76,353,818 is 10972652

GCF of denominators i.e. for 468,706,270 is 2.

Thus, LCM of Fractions is 5486326.Finally, LCM of Fractions for 76/468, 353/706, 818/270 is 5486326.