Least Common Multiple of 19/558, 85/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/558, 85/894 quickly i.e. 1615/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/558, 85/894 is 1615/6.

LCM(19/558, 85/894) = 1615/6

LCM of 19/558, 85/894

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 19/558,85/894

Given numbers are 19/558,85/894

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 19,85

Least Common Multiple of Numerators i.e. LCM of 19,85 is 1615.

GCF of Denominators means GCF of 558,894 as per the given fractions.

GCF of 558,894 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,85

LCM of Fractions 19/558,85/894 is 1615/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 1615

Least Common Multiple of 19,85 with GCF Formula

Least Common Multiple of 19,85 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 19,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,85) = 1

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

GCF(19,85) x common factors =1 x 1 = 1

LCM(19,85) = ( 19 × 85 ) / 1

LCM(19,85) = 1615 / 1

LCM(19,85) = 1615


Lets's calculate GCF of 558,894

2 558, 894
3 279, 447
93, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1615/6

Therefore the LCM of Fractions 19/558,85/894 is 1615/6

Greatest Common Factor of 558,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,894 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 558,894 . The biggest common factor number is the GCF number.
So the greatest common factor 558,894 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 19/558, 85/894

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 19/558, 85/894?

Answer: LCM of Numerators as per given numbers 19/558, 85/894 is

LCM of Numerators i.e. for 19,85 is 1615

GCF of denominators i.e. for 558,894 is 6.

Thus, LCM of Fractions is 1615/6.Finally, LCM of Fractions for 19/558, 85/894 is 1615/6.