Least Common Multiple of 85/18, 292/66, 387/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/18, 292/66, 387/498 quickly i.e. 1600890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/18, 292/66, 387/498 is 1600890.

LCM(85/18, 292/66, 387/498) = 1600890

LCM of 85/18, 292/66, 387/498

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 85/18,292/66,387/498

Given numbers are 85/18,292/66,387/498

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 85,292,387

Least Common Multiple of Numerators i.e. LCM of 85,292,387 is 9605340.

GCF of Denominators means GCF of 18,66,498 as per the given fractions.

GCF of 18,66,498 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,292,387

LCM of Fractions 85/18,292/66,387/498 is 1600890

Given numbers has no common factors except 1. So, there LCM is their product i.e 9605340

Least Common Multiple of 85,292,387 with GCF Formula

Least Common Multiple of 85,292,387 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 85,292,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,292,387) = 1

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

GCF(85,292,387) x common factors =1 x 1 = 1

LCM(85,292,387) = ( 85 × 292 × 387 ) / 1

LCM(85,292,387) = 9605340 / 1

LCM(85,292,387) = 9605340


Lets's calculate GCF of 18,66,498

2 18, 66, 498
3 9, 33, 249
3, 11, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9605340/6

Therefore the LCM of Fractions 85/18,292/66,387/498 is 1600890

Greatest Common Factor of 18,66,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,66,498 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 18,66,498 . The biggest common factor number is the GCF number.
So the greatest common factor 18,66,498 is 6.


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 85/18, 292/66, 387/498

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 85/18, 292/66, 387/498?

Answer: LCM of Numerators as per given numbers 85/18, 292/66, 387/498 is

LCM of Numerators i.e. for 85,292,387 is 9605340

GCF of denominators i.e. for 18,66,498 is 6.

Thus, LCM of Fractions is 1600890.Finally, LCM of Fractions for 85/18, 292/66, 387/498 is 1600890.