Least Common Multiple of 18/990, 319/769, 126/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/990, 319/769, 126/537 quickly i.e. 40194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/990, 319/769, 126/537 is 40194.

LCM(18/990, 319/769, 126/537) = 40194

LCM of 18/990, 319/769, 126/537

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 18/990,319/769,126/537

Given numbers are 18/990,319/769,126/537

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 18,319,126

Least Common Multiple of Numerators i.e. LCM of 18,319,126 is 40194.

GCF of Denominators means GCF of 990,769,537 as per the given fractions.

GCF of 990,769,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,319,126

LCM of Fractions 18/990,319/769,126/537 is 40194

2 18, 319, 126
3 9, 319, 63
3 3, 319, 21
1, 319, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 319 x 7 = 40194

Least Common Multiple of 18,319,126 with GCF Formula

Least Common Multiple of 18,319,126 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 18,319,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,319,126) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(18,319,126) x common factors =1 x 18 = 18

LCM(18,319,126) = ( 18 × 319 × 126 ) / 18

LCM(18,319,126) = 723492 / 18

LCM(18,319,126) = 40194


Lets's calculate GCF of 990,769,537

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40194/1

Therefore the LCM of Fractions 18/990,319/769,126/537 is 40194

Greatest Common Factor of 990,769,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,769,537 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 990,769,537 . The biggest common factor number is the GCF number.
So the greatest common factor 990,769,537 is 1.


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 18/990, 319/769, 126/537

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 18/990, 319/769, 126/537?

Answer: LCM of Numerators as per given numbers 18/990, 319/769, 126/537 is

LCM of Numerators i.e. for 18,319,126 is 40194

GCF of denominators i.e. for 990,769,537 is 1.

Thus, LCM of Fractions is 40194.Finally, LCM of Fractions for 18/990, 319/769, 126/537 is 40194.