Least Common Multiple of 30/74, 81/76, 276/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/74, 81/76, 276/175 quickly i.e. 37260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/74, 81/76, 276/175 is 37260.

LCM(30/74, 81/76, 276/175) = 37260

LCM of 30/74, 81/76, 276/175

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 30/74,81/76,276/175

Given numbers are 30/74,81/76,276/175

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 30,81,276

Least Common Multiple of Numerators i.e. LCM of 30,81,276 is 37260.

GCF of Denominators means GCF of 74,76,175 as per the given fractions.

GCF of 74,76,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,81,276

LCM of Fractions 30/74,81/76,276/175 is 37260

2 30, 81, 276
3 15, 81, 138
5, 27, 46

∴ So the LCM of the given numbers is 2 x 3 x 5 x 27 x 46 = 37260

Least Common Multiple of 30,81,276 with GCF Formula

Least Common Multiple of 30,81,276 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 30,81,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,81,276) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(30,81,276) x common factors =3 x 6 = 18

LCM(30,81,276) = ( 30 × 81 × 276 ) / 18

LCM(30,81,276) = 670680 / 18

LCM(30,81,276) = 37260


Lets's calculate GCF of 74,76,175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37260/1

Therefore the LCM of Fractions 30/74,81/76,276/175 is 37260

Greatest Common Factor of 74,76,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,76,175 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 74,76,175 . The biggest common factor number is the GCF number.
So the greatest common factor 74,76,175 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 30/74, 81/76, 276/175

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 30/74, 81/76, 276/175?

Answer: LCM of Numerators as per given numbers 30/74, 81/76, 276/175 is

LCM of Numerators i.e. for 30,81,276 is 37260

GCF of denominators i.e. for 74,76,175 is 1.

Thus, LCM of Fractions is 37260.Finally, LCM of Fractions for 30/74, 81/76, 276/175 is 37260.