Least Common Multiple of 352/44, 173/42, 213/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/44, 173/42, 213/559 quickly i.e. 12970848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/44, 173/42, 213/559 is 12970848.

LCM(352/44, 173/42, 213/559) = 12970848

LCM of 352/44, 173/42, 213/559

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 352/44,173/42,213/559

Given numbers are 352/44,173/42,213/559

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 352,173,213

Least Common Multiple of Numerators i.e. LCM of 352,173,213 is 12970848.

GCF of Denominators means GCF of 44,42,559 as per the given fractions.

GCF of 44,42,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,173,213

LCM of Fractions 352/44,173/42,213/559 is 12970848

Given numbers has no common factors except 1. So, there LCM is their product i.e 12970848

Least Common Multiple of 352,173,213 with GCF Formula

Least Common Multiple of 352,173,213 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 352,173,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,173,213) = 1

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

GCF(352,173,213) x common factors =1 x 1 = 1

LCM(352,173,213) = ( 352 × 173 × 213 ) / 1

LCM(352,173,213) = 12970848 / 1

LCM(352,173,213) = 12970848


Lets's calculate GCF of 44,42,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12970848/1

Therefore the LCM of Fractions 352/44,173/42,213/559 is 12970848

Greatest Common Factor of 44,42,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,42,559 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 44,42,559 . The biggest common factor number is the GCF number.
So the greatest common factor 44,42,559 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 352/44, 173/42, 213/559

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 352/44, 173/42, 213/559?

Answer: LCM of Numerators as per given numbers 352/44, 173/42, 213/559 is

LCM of Numerators i.e. for 352,173,213 is 12970848

GCF of denominators i.e. for 44,42,559 is 1.

Thus, LCM of Fractions is 12970848.Finally, LCM of Fractions for 352/44, 173/42, 213/559 is 12970848.