Least Common Multiple of 788/72, 301/22, 482/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 788/72, 301/22, 482/236 quickly i.e. 28581154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 788/72, 301/22, 482/236 is 28581154.

LCM(788/72, 301/22, 482/236) = 28581154

LCM of 788/72, 301/22, 482/236

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 788/72,301/22,482/236

Given numbers are 788/72,301/22,482/236

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 788,301,482

Least Common Multiple of Numerators i.e. LCM of 788,301,482 is 57162308.

GCF of Denominators means GCF of 72,22,236 as per the given fractions.

GCF of 72,22,236 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 788,301,482

LCM of Fractions 788/72,301/22,482/236 is 28581154

2 788, 301, 482
394, 301, 241

∴ So the LCM of the given numbers is 2 x 394 x 301 x 241 = 57162308

Least Common Multiple of 788,301,482 with GCF Formula

Least Common Multiple of 788,301,482 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 788,301,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,301,482) = 1

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

GCF(788,301,482) x common factors =1 x 2 = 2

LCM(788,301,482) = ( 788 × 301 × 482 ) / 2

LCM(788,301,482) = 114324616 / 2

LCM(788,301,482) = 57162308


Lets's calculate GCF of 72,22,236

2 72, 22, 236
36, 11, 118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57162308/2

Therefore the LCM of Fractions 788/72,301/22,482/236 is 28581154

Greatest Common Factor of 72,22,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,22,236 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 72,22,236 . The biggest common factor number is the GCF number.
So the greatest common factor 72,22,236 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 788/72, 301/22, 482/236

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 788/72, 301/22, 482/236?

Answer: LCM of Numerators as per given numbers 788/72, 301/22, 482/236 is

LCM of Numerators i.e. for 788,301,482 is 57162308

GCF of denominators i.e. for 72,22,236 is 2.

Thus, LCM of Fractions is 28581154.Finally, LCM of Fractions for 788/72, 301/22, 482/236 is 28581154.