Least Common Multiple of 3405/223, 9474/1170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3405/223, 9474/1170 quickly i.e. 10752990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3405/223, 9474/1170 is 10752990.

LCM(3405/223, 9474/1170) = 10752990

LCM of 3405/223, 9474/1170

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 3405/223,9474/1170

Given numbers are 3405/223,9474/1170

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 3405,9474

Least Common Multiple of Numerators i.e. LCM of 3405,9474 is 10752990.

GCF of Denominators means GCF of 223,1170 as per the given fractions.

GCF of 223,1170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3405,9474

LCM of Fractions 3405/223,9474/1170 is 10752990

3 3405, 9474
1135, 3158

∴ So the LCM of the given numbers is 3 x 1135 x 3158 = 10752990

Least Common Multiple of 3405,9474 with GCF Formula

Least Common Multiple of 3405,9474 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 3405,9474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3405,9474) = 3

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

GCF(3405,9474) x common factors =3 x 1 = 3

LCM(3405,9474) = ( 3405 × 9474 ) / 3

LCM(3405,9474) = 32258970 / 3

LCM(3405,9474) = 10752990


Lets's calculate GCF of 223,1170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10752990/1

Therefore the LCM of Fractions 3405/223,9474/1170 is 10752990

Greatest Common Factor of 223,1170 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,1170 By Matching Biggest Common Factor Method

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 1170

List of positive integer factors of 1170 that divides 1170 without a remainder.

1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170

Greatest Common Factor

We found the factors 223,1170 . The biggest common factor number is the GCF number.
So the greatest common factor 223,1170 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 3405/223, 9474/1170

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 3405/223, 9474/1170?

Answer: LCM of Numerators as per given numbers 3405/223, 9474/1170 is

LCM of Numerators i.e. for 3405,9474 is 10752990

GCF of denominators i.e. for 223,1170 is 1.

Thus, LCM of Fractions is 10752990.Finally, LCM of Fractions for 3405/223, 9474/1170 is 10752990.