Least Common Multiple of 49/198, 58/632, 445/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/198, 58/632, 445/206 quickly i.e. 632345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/198, 58/632, 445/206 is 632345.

LCM(49/198, 58/632, 445/206) = 632345

LCM of 49/198, 58/632, 445/206

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 49/198,58/632,445/206

Given numbers are 49/198,58/632,445/206

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 49,58,445

Least Common Multiple of Numerators i.e. LCM of 49,58,445 is 1264690.

GCF of Denominators means GCF of 198,632,206 as per the given fractions.

GCF of 198,632,206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,58,445

LCM of Fractions 49/198,58/632,445/206 is 632345

Given numbers has no common factors except 1. So, there LCM is their product i.e 1264690

Least Common Multiple of 49,58,445 with GCF Formula

Least Common Multiple of 49,58,445 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 49,58,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,58,445) = 1

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

GCF(49,58,445) x common factors =1 x 1 = 1

LCM(49,58,445) = ( 49 × 58 × 445 ) / 1

LCM(49,58,445) = 1264690 / 1

LCM(49,58,445) = 1264690


Lets's calculate GCF of 198,632,206

2 198, 632, 206
99, 316, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1264690/2

Therefore the LCM of Fractions 49/198,58/632,445/206 is 632345

Greatest Common Factor of 198,632,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,632,206 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 198,632,206 . The biggest common factor number is the GCF number.
So the greatest common factor 198,632,206 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 49/198, 58/632, 445/206

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 49/198, 58/632, 445/206?

Answer: LCM of Numerators as per given numbers 49/198, 58/632, 445/206 is

LCM of Numerators i.e. for 49,58,445 is 1264690

GCF of denominators i.e. for 198,632,206 is 2.

Thus, LCM of Fractions is 632345.Finally, LCM of Fractions for 49/198, 58/632, 445/206 is 632345.