Least Common Multiple of 75/75, 998/42, 170/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/75, 998/42, 170/162 quickly i.e. 424150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/75, 998/42, 170/162 is 424150.

LCM(75/75, 998/42, 170/162) = 424150

LCM of 75/75, 998/42, 170/162

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 75/75,998/42,170/162

Given numbers are 75/75,998/42,170/162

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 75,998,170

Least Common Multiple of Numerators i.e. LCM of 75,998,170 is 1272450.

GCF of Denominators means GCF of 75,42,162 as per the given fractions.

GCF of 75,42,162 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,998,170

LCM of Fractions 75/75,998/42,170/162 is 424150

2 75, 998, 170
5 75, 499, 85
15, 499, 17

∴ So the LCM of the given numbers is 2 x 5 x 15 x 499 x 17 = 1272450

Least Common Multiple of 75,998,170 with GCF Formula

Least Common Multiple of 75,998,170 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 75,998,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,998,170) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(75,998,170) x common factors =1 x 10 = 10

LCM(75,998,170) = ( 75 × 998 × 170 ) / 10

LCM(75,998,170) = 12724500 / 10

LCM(75,998,170) = 1272450


Lets's calculate GCF of 75,42,162

3 75, 42, 162
25, 14, 54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1272450/3

Therefore the LCM of Fractions 75/75,998/42,170/162 is 424150

Greatest Common Factor of 75,42,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,42,162 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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 75,42,162 . The biggest common factor number is the GCF number.
So the greatest common factor 75,42,162 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 75/75, 998/42, 170/162

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 75/75, 998/42, 170/162?

Answer: LCM of Numerators as per given numbers 75/75, 998/42, 170/162 is

LCM of Numerators i.e. for 75,998,170 is 1272450

GCF of denominators i.e. for 75,42,162 is 3.

Thus, LCM of Fractions is 424150.Finally, LCM of Fractions for 75/75, 998/42, 170/162 is 424150.