Least Common Multiple of 888/92, 605/12, 274/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 888/92, 605/12, 274/24 quickly i.e. 18400470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 888/92, 605/12, 274/24 is 18400470.

LCM(888/92, 605/12, 274/24) = 18400470

LCM of 888/92, 605/12, 274/24

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 888/92,605/12,274/24

Given numbers are 888/92,605/12,274/24

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 888,605,274

Least Common Multiple of Numerators i.e. LCM of 888,605,274 is 73601880.

GCF of Denominators means GCF of 92,12,24 as per the given fractions.

GCF of 92,12,24 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 888,605,274

LCM of Fractions 888/92,605/12,274/24 is 18400470

2 888, 605, 274
444, 605, 137

∴ So the LCM of the given numbers is 2 x 444 x 605 x 137 = 73601880

Least Common Multiple of 888,605,274 with GCF Formula

Least Common Multiple of 888,605,274 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 888,605,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,605,274) = 1

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

GCF(888,605,274) x common factors =1 x 2 = 2

LCM(888,605,274) = ( 888 × 605 × 274 ) / 2

LCM(888,605,274) = 147203760 / 2

LCM(888,605,274) = 73601880


Lets's calculate GCF of 92,12,24

2 92, 12, 24
2 46, 6, 12
23, 3, 6

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73601880/4

Therefore the LCM of Fractions 888/92,605/12,274/24 is 18400470

Greatest Common Factor of 92,12,24 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,12,24 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Greatest Common Factor

We found the factors 92,12,24 . The biggest common factor number is the GCF number.
So the greatest common factor 92,12,24 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 888/92, 605/12, 274/24

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 888/92, 605/12, 274/24?

Answer: LCM of Numerators as per given numbers 888/92, 605/12, 274/24 is

LCM of Numerators i.e. for 888,605,274 is 73601880

GCF of denominators i.e. for 92,12,24 is 4.

Thus, LCM of Fractions is 18400470.Finally, LCM of Fractions for 888/92, 605/12, 274/24 is 18400470.