Least Common Multiple of 199/112, 470/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 199/112, 470/570 quickly i.e. 46765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/112, 470/570 is 46765.

LCM(199/112, 470/570) = 46765

LCM of 199/112, 470/570

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 199/112,470/570

Given numbers are 199/112,470/570

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 199,470

Least Common Multiple of Numerators i.e. LCM of 199,470 is 93530.

GCF of Denominators means GCF of 112,570 as per the given fractions.

GCF of 112,570 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,470

LCM of Fractions 199/112,470/570 is 46765

Given numbers has no common factors except 1. So, there LCM is their product i.e 93530

Least Common Multiple of 199,470 with GCF Formula

Least Common Multiple of 199,470 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 199,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,470) = 1

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

GCF(199,470) x common factors =1 x 1 = 1

LCM(199,470) = ( 199 × 470 ) / 1

LCM(199,470) = 93530 / 1

LCM(199,470) = 93530


Lets's calculate GCF of 112,570

2 112, 570
56, 285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93530/2

Therefore the LCM of Fractions 199/112,470/570 is 46765

Greatest Common Factor of 112,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,570 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 112,570 . The biggest common factor number is the GCF number.
So the greatest common factor 112,570 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 199/112, 470/570

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 199/112, 470/570?

Answer: LCM of Numerators as per given numbers 199/112, 470/570 is

LCM of Numerators i.e. for 199,470 is 93530

GCF of denominators i.e. for 112,570 is 2.

Thus, LCM of Fractions is 46765.Finally, LCM of Fractions for 199/112, 470/570 is 46765.