Least Common Multiple of 78/176, 192/908, 228/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/176, 192/908, 228/945 quickly i.e. 47424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/176, 192/908, 228/945 is 47424.

LCM(78/176, 192/908, 228/945) = 47424

LCM of 78/176, 192/908, 228/945

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 78/176,192/908,228/945

Given numbers are 78/176,192/908,228/945

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 78,192,228

Least Common Multiple of Numerators i.e. LCM of 78,192,228 is 47424.

GCF of Denominators means GCF of 176,908,945 as per the given fractions.

GCF of 176,908,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,192,228

LCM of Fractions 78/176,192/908,228/945 is 47424

2 78, 192, 228
2 39, 96, 114
3 39, 48, 57
13, 16, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 16 x 19 = 47424

Least Common Multiple of 78,192,228 with GCF Formula

Least Common Multiple of 78,192,228 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 78,192,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,192,228) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(78,192,228) x common factors =6 x 12 = 72

LCM(78,192,228) = ( 78 × 192 × 228 ) / 72

LCM(78,192,228) = 3414528 / 72

LCM(78,192,228) = 47424


Lets's calculate GCF of 176,908,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47424/1

Therefore the LCM of Fractions 78/176,192/908,228/945 is 47424

Greatest Common Factor of 176,908,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,908,945 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 176,908,945 . The biggest common factor number is the GCF number.
So the greatest common factor 176,908,945 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 78/176, 192/908, 228/945

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 78/176, 192/908, 228/945?

Answer: LCM of Numerators as per given numbers 78/176, 192/908, 228/945 is

LCM of Numerators i.e. for 78,192,228 is 47424

GCF of denominators i.e. for 176,908,945 is 1.

Thus, LCM of Fractions is 47424.Finally, LCM of Fractions for 78/176, 192/908, 228/945 is 47424.