Least Common Multiple of 223/144, 3170/4464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 223/144, 3170/4464 quickly i.e. 706910/144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 223/144, 3170/4464 is 706910/144.

LCM(223/144, 3170/4464) = 706910/144

LCM of 223/144, 3170/4464

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 223/144,3170/4464

Given numbers are 223/144,3170/4464

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 223,3170

Least Common Multiple of Numerators i.e. LCM of 223,3170 is 706910.

GCF of Denominators means GCF of 144,4464 as per the given fractions.

GCF of 144,4464 is 144 as it is the largest common factor for these numbers.

Lets's calculate LCM of 223,3170

LCM of Fractions 223/144,3170/4464 is 706910/144

Given numbers has no common factors except 1. So, there LCM is their product i.e 706910

Least Common Multiple of 223,3170 with GCF Formula

Least Common Multiple of 223,3170 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 223,3170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,3170) = 1

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

GCF(223,3170) x common factors =1 x 1 = 1

LCM(223,3170) = ( 223 × 3170 ) / 1

LCM(223,3170) = 706910 / 1

LCM(223,3170) = 706910


Lets's calculate GCF of 144,4464

2 144, 4464
2 72, 2232
2 36, 1116
2 18, 558
3 9, 279
3 3, 93
1, 31

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 = 144

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 706910/144

Therefore the LCM of Fractions 223/144,3170/4464 is 706910/144

Greatest Common Factor of 144,4464 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,4464 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 4464

List of positive integer factors of 4464 that divides 4464 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,31,36,48,62,72,93,124,144,186,248,279,372,496,558,744,1116,1488,2232,4464

Greatest Common Factor

We found the factors 144,4464 . The biggest common factor number is the GCF number.
So the greatest common factor 144,4464 is 144.


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 223/144, 3170/4464

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 223/144, 3170/4464?

Answer: LCM of Numerators as per given numbers 223/144, 3170/4464 is

LCM of Numerators i.e. for 223,3170 is 706910

GCF of denominators i.e. for 144,4464 is 144.

Thus, LCM of Fractions is 706910/144.Finally, LCM of Fractions for 223/144, 3170/4464 is 706910/144.