Least Common Multiple of 78/12, 389/18, 740/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/12, 389/18, 740/175 quickly i.e. 11226540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/12, 389/18, 740/175 is 11226540.

LCM(78/12, 389/18, 740/175) = 11226540

LCM of 78/12, 389/18, 740/175

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 78/12,389/18,740/175

Given numbers are 78/12,389/18,740/175

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 78,389,740

Least Common Multiple of Numerators i.e. LCM of 78,389,740 is 11226540.

GCF of Denominators means GCF of 12,18,175 as per the given fractions.

GCF of 12,18,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,389,740

LCM of Fractions 78/12,389/18,740/175 is 11226540

2 78, 389, 740
39, 389, 370

∴ So the LCM of the given numbers is 2 x 39 x 389 x 370 = 11226540

Least Common Multiple of 78,389,740 with GCF Formula

Least Common Multiple of 78,389,740 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 78,389,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,389,740) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,389,740) x common factors =1 x 2 = 2

LCM(78,389,740) = ( 78 × 389 × 740 ) / 2

LCM(78,389,740) = 22453080 / 2

LCM(78,389,740) = 11226540


Lets's calculate GCF of 12,18,175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11226540/1

Therefore the LCM of Fractions 78/12,389/18,740/175 is 11226540

Greatest Common Factor of 12,18,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,18,175 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 12,18,175 . The biggest common factor number is the GCF number.
So the greatest common factor 12,18,175 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 78/12, 389/18, 740/175

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 78/12, 389/18, 740/175?

Answer: LCM of Numerators as per given numbers 78/12, 389/18, 740/175 is

LCM of Numerators i.e. for 78,389,740 is 11226540

GCF of denominators i.e. for 12,18,175 is 1.

Thus, LCM of Fractions is 11226540.Finally, LCM of Fractions for 78/12, 389/18, 740/175 is 11226540.