Least Common Multiple of 69/17, 228/93, 175/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/17, 228/93, 175/884 quickly i.e. 917700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/17, 228/93, 175/884 is 917700.

LCM(69/17, 228/93, 175/884) = 917700

LCM of 69/17, 228/93, 175/884

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 69/17,228/93,175/884

Given numbers are 69/17,228/93,175/884

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 69,228,175

Least Common Multiple of Numerators i.e. LCM of 69,228,175 is 917700.

GCF of Denominators means GCF of 17,93,884 as per the given fractions.

GCF of 17,93,884 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,228,175

LCM of Fractions 69/17,228/93,175/884 is 917700

3 69, 228, 175
23, 76, 175

∴ So the LCM of the given numbers is 3 x 23 x 76 x 175 = 917700

Least Common Multiple of 69,228,175 with GCF Formula

Least Common Multiple of 69,228,175 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 69,228,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,228,175) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,228,175) x common factors =1 x 3 = 3

LCM(69,228,175) = ( 69 × 228 × 175 ) / 3

LCM(69,228,175) = 2753100 / 3

LCM(69,228,175) = 917700


Lets's calculate GCF of 17,93,884

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 917700/1

Therefore the LCM of Fractions 69/17,228/93,175/884 is 917700

Greatest Common Factor of 17,93,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,93,884 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 17,93,884 . The biggest common factor number is the GCF number.
So the greatest common factor 17,93,884 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 69/17, 228/93, 175/884

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 69/17, 228/93, 175/884?

Answer: LCM of Numerators as per given numbers 69/17, 228/93, 175/884 is

LCM of Numerators i.e. for 69,228,175 is 917700

GCF of denominators i.e. for 17,93,884 is 1.

Thus, LCM of Fractions is 917700.Finally, LCM of Fractions for 69/17, 228/93, 175/884 is 917700.