Least Common Multiple of 78/178, 7029/9280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/178, 7029/9280 quickly i.e. 91377 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/178, 7029/9280 is 91377.

LCM(78/178, 7029/9280) = 91377

LCM of 78/178, 7029/9280

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 78/178,7029/9280

Given numbers are 78/178,7029/9280

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 78,7029

Least Common Multiple of Numerators i.e. LCM of 78,7029 is 182754.

GCF of Denominators means GCF of 178,9280 as per the given fractions.

GCF of 178,9280 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,7029

LCM of Fractions 78/178,7029/9280 is 91377

3 78, 7029
26, 2343

∴ So the LCM of the given numbers is 3 x 26 x 2343 = 182754

Least Common Multiple of 78,7029 with GCF Formula

Least Common Multiple of 78,7029 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 78,7029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,7029) = 3

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

GCF(78,7029) x common factors =3 x 1 = 3

LCM(78,7029) = ( 78 × 7029 ) / 3

LCM(78,7029) = 548262 / 3

LCM(78,7029) = 182754


Lets's calculate GCF of 178,9280

2 178, 9280
89, 4640

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182754/2

Therefore the LCM of Fractions 78/178,7029/9280 is 91377

Greatest Common Factor of 178,9280 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,9280 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 9280

List of positive integer factors of 9280 that divides 9280 without a remainder.

1,2,4,5,8,10,16,20,29,32,40,58,64,80,116,145,160,232,290,320,464,580,928,1160,1856,2320,4640,9280

Greatest Common Factor

We found the factors 178,9280 . The biggest common factor number is the GCF number.
So the greatest common factor 178,9280 is 2.


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 78/178, 7029/9280

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 78/178, 7029/9280?

Answer: LCM of Numerators as per given numbers 78/178, 7029/9280 is

LCM of Numerators i.e. for 78,7029 is 182754

GCF of denominators i.e. for 178,9280 is 2.

Thus, LCM of Fractions is 91377.Finally, LCM of Fractions for 78/178, 7029/9280 is 91377.