Least Common Multiple of 106/98, 105/28, 872/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/98, 105/28, 872/162 quickly i.e. 2426340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/98, 105/28, 872/162 is 2426340.

LCM(106/98, 105/28, 872/162) = 2426340

LCM of 106/98, 105/28, 872/162

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 106/98,105/28,872/162

Given numbers are 106/98,105/28,872/162

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 106,105,872

Least Common Multiple of Numerators i.e. LCM of 106,105,872 is 4852680.

GCF of Denominators means GCF of 98,28,162 as per the given fractions.

GCF of 98,28,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,105,872

LCM of Fractions 106/98,105/28,872/162 is 2426340

2 106, 105, 872
53, 105, 436

∴ So the LCM of the given numbers is 2 x 53 x 105 x 436 = 4852680

Least Common Multiple of 106,105,872 with GCF Formula

Least Common Multiple of 106,105,872 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 106,105,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,105,872) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(106,105,872) x common factors =1 x 2 = 2

LCM(106,105,872) = ( 106 × 105 × 872 ) / 2

LCM(106,105,872) = 9705360 / 2

LCM(106,105,872) = 4852680


Lets's calculate GCF of 98,28,162

2 98, 28, 162
49, 14, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4852680/2

Therefore the LCM of Fractions 106/98,105/28,872/162 is 2426340

Greatest Common Factor of 98,28,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,28,162 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 98,28,162 . The biggest common factor number is the GCF number.
So the greatest common factor 98,28,162 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 106/98, 105/28, 872/162

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 106/98, 105/28, 872/162?

Answer: LCM of Numerators as per given numbers 106/98, 105/28, 872/162 is

LCM of Numerators i.e. for 106,105,872 is 4852680

GCF of denominators i.e. for 98,28,162 is 2.

Thus, LCM of Fractions is 2426340.Finally, LCM of Fractions for 106/98, 105/28, 872/162 is 2426340.