Least Common Multiple of 17/88, 175/42, 184/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/88, 175/42, 184/503 quickly i.e. 547400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/88, 175/42, 184/503 is 547400.

LCM(17/88, 175/42, 184/503) = 547400

LCM of 17/88, 175/42, 184/503

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 17/88,175/42,184/503

Given numbers are 17/88,175/42,184/503

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 17,175,184

Least Common Multiple of Numerators i.e. LCM of 17,175,184 is 547400.

GCF of Denominators means GCF of 88,42,503 as per the given fractions.

GCF of 88,42,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,175,184

LCM of Fractions 17/88,175/42,184/503 is 547400

Given numbers has no common factors except 1. So, there LCM is their product i.e 547400

Least Common Multiple of 17,175,184 with GCF Formula

Least Common Multiple of 17,175,184 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 17,175,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,175,184) = 1

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

GCF(17,175,184) x common factors =1 x 1 = 1

LCM(17,175,184) = ( 17 × 175 × 184 ) / 1

LCM(17,175,184) = 547400 / 1

LCM(17,175,184) = 547400


Lets's calculate GCF of 88,42,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 547400/1

Therefore the LCM of Fractions 17/88,175/42,184/503 is 547400

Greatest Common Factor of 88,42,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,42,503 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

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 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 88,42,503 . The biggest common factor number is the GCF number.
So the greatest common factor 88,42,503 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 17/88, 175/42, 184/503

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 17/88, 175/42, 184/503?

Answer: LCM of Numerators as per given numbers 17/88, 175/42, 184/503 is

LCM of Numerators i.e. for 17,175,184 is 547400

GCF of denominators i.e. for 88,42,503 is 1.

Thus, LCM of Fractions is 547400.Finally, LCM of Fractions for 17/88, 175/42, 184/503 is 547400.