Least Common Multiple of 32/210, 5222/3442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/210, 5222/3442 quickly i.e. 41776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/210, 5222/3442 is 41776.

LCM(32/210, 5222/3442) = 41776

LCM of 32/210, 5222/3442

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 32/210,5222/3442

Given numbers are 32/210,5222/3442

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 32,5222

Least Common Multiple of Numerators i.e. LCM of 32,5222 is 83552.

GCF of Denominators means GCF of 210,3442 as per the given fractions.

GCF of 210,3442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,5222

LCM of Fractions 32/210,5222/3442 is 41776

2 32, 5222
16, 2611

∴ So the LCM of the given numbers is 2 x 16 x 2611 = 83552

Least Common Multiple of 32,5222 with GCF Formula

Least Common Multiple of 32,5222 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 32,5222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,5222) = 2

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

GCF(32,5222) x common factors =2 x 1 = 2

LCM(32,5222) = ( 32 × 5222 ) / 2

LCM(32,5222) = 167104 / 2

LCM(32,5222) = 83552


Lets's calculate GCF of 210,3442

2 210, 3442
105, 1721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83552/2

Therefore the LCM of Fractions 32/210,5222/3442 is 41776

Greatest Common Factor of 210,3442 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,3442 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 3442

List of positive integer factors of 3442 that divides 3442 without a remainder.

1,2,1721,3442

Greatest Common Factor

We found the factors 210,3442 . The biggest common factor number is the GCF number.
So the greatest common factor 210,3442 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 32/210, 5222/3442

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 32/210, 5222/3442?

Answer: LCM of Numerators as per given numbers 32/210, 5222/3442 is

LCM of Numerators i.e. for 32,5222 is 83552

GCF of denominators i.e. for 210,3442 is 2.

Thus, LCM of Fractions is 41776.Finally, LCM of Fractions for 32/210, 5222/3442 is 41776.