Least Common Multiple of 19/174, 56/470, 113/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/174, 56/470, 113/750 quickly i.e. 60116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/174, 56/470, 113/750 is 60116.

LCM(19/174, 56/470, 113/750) = 60116

LCM of 19/174, 56/470, 113/750

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 19/174,56/470,113/750

Given numbers are 19/174,56/470,113/750

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 19,56,113

Least Common Multiple of Numerators i.e. LCM of 19,56,113 is 120232.

GCF of Denominators means GCF of 174,470,750 as per the given fractions.

GCF of 174,470,750 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,56,113

LCM of Fractions 19/174,56/470,113/750 is 60116

Given numbers has no common factors except 1. So, there LCM is their product i.e 120232

Least Common Multiple of 19,56,113 with GCF Formula

Least Common Multiple of 19,56,113 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 19,56,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,56,113) = 1

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

GCF(19,56,113) x common factors =1 x 1 = 1

LCM(19,56,113) = ( 19 × 56 × 113 ) / 1

LCM(19,56,113) = 120232 / 1

LCM(19,56,113) = 120232


Lets's calculate GCF of 174,470,750

2 174, 470, 750
87, 235, 375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120232/2

Therefore the LCM of Fractions 19/174,56/470,113/750 is 60116

Greatest Common Factor of 174,470,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,470,750 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 174,470,750 . The biggest common factor number is the GCF number.
So the greatest common factor 174,470,750 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 19/174, 56/470, 113/750

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 19/174, 56/470, 113/750?

Answer: LCM of Numerators as per given numbers 19/174, 56/470, 113/750 is

LCM of Numerators i.e. for 19,56,113 is 120232

GCF of denominators i.e. for 174,470,750 is 2.

Thus, LCM of Fractions is 60116.Finally, LCM of Fractions for 19/174, 56/470, 113/750 is 60116.