Least Common Multiple of 85/216, 690/298, 992/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/216, 690/298, 992/340 quickly i.e. 2909040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/216, 690/298, 992/340 is 2909040.

LCM(85/216, 690/298, 992/340) = 2909040

LCM of 85/216, 690/298, 992/340

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 85/216,690/298,992/340

Given numbers are 85/216,690/298,992/340

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 85,690,992

Least Common Multiple of Numerators i.e. LCM of 85,690,992 is 5818080.

GCF of Denominators means GCF of 216,298,340 as per the given fractions.

GCF of 216,298,340 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,690,992

LCM of Fractions 85/216,690/298,992/340 is 2909040

2 85, 690, 992
5 85, 345, 496
17, 69, 496

∴ So the LCM of the given numbers is 2 x 5 x 17 x 69 x 496 = 5818080

Least Common Multiple of 85,690,992 with GCF Formula

Least Common Multiple of 85,690,992 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 85,690,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,690,992) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(85,690,992) x common factors =1 x 10 = 10

LCM(85,690,992) = ( 85 × 690 × 992 ) / 10

LCM(85,690,992) = 58180800 / 10

LCM(85,690,992) = 5818080


Lets's calculate GCF of 216,298,340

2 216, 298, 340
108, 149, 170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5818080/2

Therefore the LCM of Fractions 85/216,690/298,992/340 is 2909040

Greatest Common Factor of 216,298,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,298,340 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 216,298,340 . The biggest common factor number is the GCF number.
So the greatest common factor 216,298,340 is 2.


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 85/216, 690/298, 992/340

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 85/216, 690/298, 992/340?

Answer: LCM of Numerators as per given numbers 85/216, 690/298, 992/340 is

LCM of Numerators i.e. for 85,690,992 is 5818080

GCF of denominators i.e. for 216,298,340 is 2.

Thus, LCM of Fractions is 2909040.Finally, LCM of Fractions for 85/216, 690/298, 992/340 is 2909040.