Least Common Multiple of 719/98, 418/8744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 719/98, 418/8744 quickly i.e. 150271 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 719/98, 418/8744 is 150271.

LCM(719/98, 418/8744) = 150271

LCM of 719/98, 418/8744

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 719/98,418/8744

Given numbers are 719/98,418/8744

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 719,418

Least Common Multiple of Numerators i.e. LCM of 719,418 is 300542.

GCF of Denominators means GCF of 98,8744 as per the given fractions.

GCF of 98,8744 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 719,418

LCM of Fractions 719/98,418/8744 is 150271

Given numbers has no common factors except 1. So, there LCM is their product i.e 300542

Least Common Multiple of 719,418 with GCF Formula

Least Common Multiple of 719,418 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 719,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,418) = 1

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

GCF(719,418) x common factors =1 x 1 = 1

LCM(719,418) = ( 719 × 418 ) / 1

LCM(719,418) = 300542 / 1

LCM(719,418) = 300542


Lets's calculate GCF of 98,8744

2 98, 8744
49, 4372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300542/2

Therefore the LCM of Fractions 719/98,418/8744 is 150271

Greatest Common Factor of 98,8744 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,8744 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 8744

List of positive integer factors of 8744 that divides 8744 without a remainder.

1,2,4,8,1093,2186,4372,8744

Greatest Common Factor

We found the factors 98,8744 . The biggest common factor number is the GCF number.
So the greatest common factor 98,8744 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 719/98, 418/8744

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 719/98, 418/8744?

Answer: LCM of Numerators as per given numbers 719/98, 418/8744 is

LCM of Numerators i.e. for 719,418 is 300542

GCF of denominators i.e. for 98,8744 is 2.

Thus, LCM of Fractions is 150271.Finally, LCM of Fractions for 719/98, 418/8744 is 150271.