Least Common Multiple of 551/198, 705/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 551/198, 705/372 quickly i.e. 388455/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 551/198, 705/372 is 388455/6.

LCM(551/198, 705/372) = 388455/6

LCM of 551/198, 705/372

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 551/198,705/372

Given numbers are 551/198,705/372

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 551,705

Least Common Multiple of Numerators i.e. LCM of 551,705 is 388455.

GCF of Denominators means GCF of 198,372 as per the given fractions.

GCF of 198,372 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 551,705

LCM of Fractions 551/198,705/372 is 388455/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 388455

Least Common Multiple of 551,705 with GCF Formula

Least Common Multiple of 551,705 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 551,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(551,705) = 1

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

GCF(551,705) x common factors =1 x 1 = 1

LCM(551,705) = ( 551 × 705 ) / 1

LCM(551,705) = 388455 / 1

LCM(551,705) = 388455


Lets's calculate GCF of 198,372

2 198, 372
3 99, 186
33, 62

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 388455/6

Therefore the LCM of Fractions 551/198,705/372 is 388455/6

Greatest Common Factor of 198,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,372 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 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 198,372 . The biggest common factor number is the GCF number.
So the greatest common factor 198,372 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 551/198, 705/372

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 551/198, 705/372?

Answer: LCM of Numerators as per given numbers 551/198, 705/372 is

LCM of Numerators i.e. for 551,705 is 388455

GCF of denominators i.e. for 198,372 is 6.

Thus, LCM of Fractions is 388455/6.Finally, LCM of Fractions for 551/198, 705/372 is 388455/6.