Least Common Multiple of 94/30, 268/88, 268/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/30, 268/88, 268/506 quickly i.e. 6298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/30, 268/88, 268/506 is 6298.

LCM(94/30, 268/88, 268/506) = 6298

LCM of 94/30, 268/88, 268/506

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 94/30,268/88,268/506

Given numbers are 94/30,268/88,268/506

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 94,268,268

Least Common Multiple of Numerators i.e. LCM of 94,268,268 is 12596.

GCF of Denominators means GCF of 30,88,506 as per the given fractions.

GCF of 30,88,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,268,268

LCM of Fractions 94/30,268/88,268/506 is 6298

2 94, 268, 268
2 47, 134, 134
67 47, 67, 67
47, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 67 x 47 x 1 x 1 = 12596

Least Common Multiple of 94,268,268 with GCF Formula

Least Common Multiple of 94,268,268 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 94,268,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,268,268) = 2

common factors(in case of two or more numbers have common factors) = 268

GCF(94,268,268) x common factors =2 x 268 = 536

LCM(94,268,268) = ( 94 × 268 × 268 ) / 536

LCM(94,268,268) = 6751456 / 536

LCM(94,268,268) = 12596


Lets's calculate GCF of 30,88,506

2 30, 88, 506
15, 44, 253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12596/2

Therefore the LCM of Fractions 94/30,268/88,268/506 is 6298

Greatest Common Factor of 30,88,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,88,506 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 30,88,506 . The biggest common factor number is the GCF number.
So the greatest common factor 30,88,506 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 94/30, 268/88, 268/506

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 94/30, 268/88, 268/506?

Answer: LCM of Numerators as per given numbers 94/30, 268/88, 268/506 is

LCM of Numerators i.e. for 94,268,268 is 12596

GCF of denominators i.e. for 30,88,506 is 2.

Thus, LCM of Fractions is 6298.Finally, LCM of Fractions for 94/30, 268/88, 268/506 is 6298.