Least Common Multiple of 305/54, 935/55, 311/67

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 305/54, 935/55, 311/67 quickly i.e. 17737885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/54, 935/55, 311/67 is 17737885.

LCM(305/54, 935/55, 311/67) = 17737885

LCM of 305/54, 935/55, 311/67

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 305/54,935/55,311/67

Given numbers are 305/54,935/55,311/67

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 305,935,311

Least Common Multiple of Numerators i.e. LCM of 305,935,311 is 17737885.

GCF of Denominators means GCF of 54,55,67 as per the given fractions.

GCF of 54,55,67 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,935,311

LCM of Fractions 305/54,935/55,311/67 is 17737885

5 305, 935, 311
61, 187, 311

∴ So the LCM of the given numbers is 5 x 61 x 187 x 311 = 17737885

Least Common Multiple of 305,935,311 with GCF Formula

Least Common Multiple of 305,935,311 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 305,935,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,935,311) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(305,935,311) x common factors =1 x 5 = 5

LCM(305,935,311) = ( 305 × 935 × 311 ) / 5

LCM(305,935,311) = 88689425 / 5

LCM(305,935,311) = 17737885


Lets's calculate GCF of 54,55,67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17737885/1

Therefore the LCM of Fractions 305/54,935/55,311/67 is 17737885

Greatest Common Factor of 54,55,67 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,55,67 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Greatest Common Factor

We found the factors 54,55,67 . The biggest common factor number is the GCF number.
So the greatest common factor 54,55,67 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 305/54, 935/55, 311/67

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 305/54, 935/55, 311/67?

Answer: LCM of Numerators as per given numbers 305/54, 935/55, 311/67 is

LCM of Numerators i.e. for 305,935,311 is 17737885

GCF of denominators i.e. for 54,55,67 is 1.

Thus, LCM of Fractions is 17737885.Finally, LCM of Fractions for 305/54, 935/55, 311/67 is 17737885.