Least Common Multiple of 892/65, 254/1685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/65, 254/1685 quickly i.e. 113284/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/65, 254/1685 is 113284/5.

LCM(892/65, 254/1685) = 113284/5

LCM of 892/65, 254/1685

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 892/65,254/1685

Given numbers are 892/65,254/1685

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 892,254

Least Common Multiple of Numerators i.e. LCM of 892,254 is 113284.

GCF of Denominators means GCF of 65,1685 as per the given fractions.

GCF of 65,1685 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,254

LCM of Fractions 892/65,254/1685 is 113284/5

2 892, 254
446, 127

∴ So the LCM of the given numbers is 2 x 446 x 127 = 113284

Least Common Multiple of 892,254 with GCF Formula

Least Common Multiple of 892,254 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 892,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,254) = 2

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

GCF(892,254) x common factors =2 x 1 = 2

LCM(892,254) = ( 892 × 254 ) / 2

LCM(892,254) = 226568 / 2

LCM(892,254) = 113284


Lets's calculate GCF of 65,1685

5 65, 1685
13, 337

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113284/5

Therefore the LCM of Fractions 892/65,254/1685 is 113284/5

Greatest Common Factor of 65,1685 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,1685 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 1685

List of positive integer factors of 1685 that divides 1685 without a remainder.

1,5,337,1685

Greatest Common Factor

We found the factors 65,1685 . The biggest common factor number is the GCF number.
So the greatest common factor 65,1685 is 5.


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 892/65, 254/1685

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 892/65, 254/1685?

Answer: LCM of Numerators as per given numbers 892/65, 254/1685 is

LCM of Numerators i.e. for 892,254 is 113284

GCF of denominators i.e. for 65,1685 is 5.

Thus, LCM of Fractions is 113284/5.Finally, LCM of Fractions for 892/65, 254/1685 is 113284/5.