Least Common Multiple of 44/490, 105/210, 168/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/490, 105/210, 168/194 quickly i.e. 4620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/490, 105/210, 168/194 is 4620.

LCM(44/490, 105/210, 168/194) = 4620

LCM of 44/490, 105/210, 168/194

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 44/490,105/210,168/194

Given numbers are 44/490,105/210,168/194

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 44,105,168

Least Common Multiple of Numerators i.e. LCM of 44,105,168 is 9240.

GCF of Denominators means GCF of 490,210,194 as per the given fractions.

GCF of 490,210,194 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,105,168

LCM of Fractions 44/490,105/210,168/194 is 4620

2 44, 105, 168
2 22, 105, 84
3 11, 105, 42
7 11, 35, 14
11, 5, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 11 x 5 x 2 = 9240

Least Common Multiple of 44,105,168 with GCF Formula

Least Common Multiple of 44,105,168 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 44,105,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,105,168) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(44,105,168) x common factors =1 x 84 = 84

LCM(44,105,168) = ( 44 × 105 × 168 ) / 84

LCM(44,105,168) = 776160 / 84

LCM(44,105,168) = 9240


Lets's calculate GCF of 490,210,194

2 490, 210, 194
245, 105, 97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9240/2

Therefore the LCM of Fractions 44/490,105/210,168/194 is 4620

Greatest Common Factor of 490,210,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,210,194 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

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 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 490,210,194 . The biggest common factor number is the GCF number.
So the greatest common factor 490,210,194 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 44/490, 105/210, 168/194

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 44/490, 105/210, 168/194?

Answer: LCM of Numerators as per given numbers 44/490, 105/210, 168/194 is

LCM of Numerators i.e. for 44,105,168 is 9240

GCF of denominators i.e. for 490,210,194 is 2.

Thus, LCM of Fractions is 4620.Finally, LCM of Fractions for 44/490, 105/210, 168/194 is 4620.