Least Common Multiple of 45/67, 54/75, 84/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/67, 54/75, 84/385 quickly i.e. 3780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/67, 54/75, 84/385 is 3780.

LCM(45/67, 54/75, 84/385) = 3780

LCM of 45/67, 54/75, 84/385

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 45/67,54/75,84/385

Given numbers are 45/67,54/75,84/385

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 45,54,84

Least Common Multiple of Numerators i.e. LCM of 45,54,84 is 3780.

GCF of Denominators means GCF of 67,75,385 as per the given fractions.

GCF of 67,75,385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,54,84

LCM of Fractions 45/67,54/75,84/385 is 3780

2 45, 54, 84
3 45, 27, 42
3 15, 9, 14
5, 3, 14

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 3 x 14 = 3780

Least Common Multiple of 45,54,84 with GCF Formula

Least Common Multiple of 45,54,84 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 45,54,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,54,84) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(45,54,84) x common factors =3 x 18 = 54

LCM(45,54,84) = ( 45 × 54 × 84 ) / 54

LCM(45,54,84) = 204120 / 54

LCM(45,54,84) = 3780


Lets's calculate GCF of 67,75,385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3780/1

Therefore the LCM of Fractions 45/67,54/75,84/385 is 3780

Greatest Common Factor of 67,75,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,75,385 By Matching Biggest Common Factor Method

Factors of 67

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

1,67

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 67,75,385 . The biggest common factor number is the GCF number.
So the greatest common factor 67,75,385 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 45/67, 54/75, 84/385

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 45/67, 54/75, 84/385?

Answer: LCM of Numerators as per given numbers 45/67, 54/75, 84/385 is

LCM of Numerators i.e. for 45,54,84 is 3780

GCF of denominators i.e. for 67,75,385 is 1.

Thus, LCM of Fractions is 3780.Finally, LCM of Fractions for 45/67, 54/75, 84/385 is 3780.