Least Common Multiple of 182/22, 706/8820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 182/22, 706/8820 quickly i.e. 32123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 182/22, 706/8820 is 32123.

LCM(182/22, 706/8820) = 32123

LCM of 182/22, 706/8820

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 182/22,706/8820

Given numbers are 182/22,706/8820

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 182,706

Least Common Multiple of Numerators i.e. LCM of 182,706 is 64246.

GCF of Denominators means GCF of 22,8820 as per the given fractions.

GCF of 22,8820 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 182,706

LCM of Fractions 182/22,706/8820 is 32123

2 182, 706
91, 353

∴ So the LCM of the given numbers is 2 x 91 x 353 = 64246

Least Common Multiple of 182,706 with GCF Formula

Least Common Multiple of 182,706 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 182,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,706) = 2

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

GCF(182,706) x common factors =2 x 1 = 2

LCM(182,706) = ( 182 × 706 ) / 2

LCM(182,706) = 128492 / 2

LCM(182,706) = 64246


Lets's calculate GCF of 22,8820

2 22, 8820
11, 4410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64246/2

Therefore the LCM of Fractions 182/22,706/8820 is 32123

Greatest Common Factor of 22,8820 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,8820 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 8820

List of positive integer factors of 8820 that divides 8820 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,49,60,63,70,84,90,98,105,126,140,147,180,196,210,245,252,294,315,420,441,490,588,630,735,882,980,1260,1470,1764,2205,2940,4410,8820

Greatest Common Factor

We found the factors 22,8820 . The biggest common factor number is the GCF number.
So the greatest common factor 22,8820 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 182/22, 706/8820

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 182/22, 706/8820?

Answer: LCM of Numerators as per given numbers 182/22, 706/8820 is

LCM of Numerators i.e. for 182,706 is 64246

GCF of denominators i.e. for 22,8820 is 2.

Thus, LCM of Fractions is 32123.Finally, LCM of Fractions for 182/22, 706/8820 is 32123.