Least Common Multiple of 174/75, 207/3018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/75, 207/3018 quickly i.e. 4002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/75, 207/3018 is 4002.

LCM(174/75, 207/3018) = 4002

LCM of 174/75, 207/3018

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 174/75,207/3018

Given numbers are 174/75,207/3018

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 174,207

Least Common Multiple of Numerators i.e. LCM of 174,207 is 12006.

GCF of Denominators means GCF of 75,3018 as per the given fractions.

GCF of 75,3018 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,207

LCM of Fractions 174/75,207/3018 is 4002

3 174, 207
58, 69

∴ So the LCM of the given numbers is 3 x 58 x 69 = 12006

Least Common Multiple of 174,207 with GCF Formula

Least Common Multiple of 174,207 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 174,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,207) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(174,207) x common factors =3 x 1 = 3

LCM(174,207) = ( 174 × 207 ) / 3

LCM(174,207) = 36018 / 3

LCM(174,207) = 12006


Lets's calculate GCF of 75,3018

3 75, 3018
25, 1006

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12006/3

Therefore the LCM of Fractions 174/75,207/3018 is 4002

Greatest Common Factor of 75,3018 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,3018 By Matching Biggest Common Factor Method

Factors of 75

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

1,3,5,15,25,75

Factors of 3018

List of positive integer factors of 3018 that divides 3018 without a remainder.

1,2,3,6,503,1006,1509,3018

Greatest Common Factor

We found the factors 75,3018 . The biggest common factor number is the GCF number.
So the greatest common factor 75,3018 is 3.


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 174/75, 207/3018

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 174/75, 207/3018?

Answer: LCM of Numerators as per given numbers 174/75, 207/3018 is

LCM of Numerators i.e. for 174,207 is 12006

GCF of denominators i.e. for 75,3018 is 3.

Thus, LCM of Fractions is 4002.Finally, LCM of Fractions for 174/75, 207/3018 is 4002.