Least Common Multiple of 1585/796, 8627/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1585/796, 8627/173 quickly i.e. 13673795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1585/796, 8627/173 is 13673795.

LCM(1585/796, 8627/173) = 13673795

LCM of 1585/796, 8627/173

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 1585/796,8627/173

Given numbers are 1585/796,8627/173

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 1585,8627

Least Common Multiple of Numerators i.e. LCM of 1585,8627 is 13673795.

GCF of Denominators means GCF of 796,173 as per the given fractions.

GCF of 796,173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1585,8627

LCM of Fractions 1585/796,8627/173 is 13673795

Given numbers has no common factors except 1. So, there LCM is their product i.e 13673795

Least Common Multiple of 1585,8627 with GCF Formula

Least Common Multiple of 1585,8627 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 1585,8627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1585,8627) = 1

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

GCF(1585,8627) x common factors =1 x 1 = 1

LCM(1585,8627) = ( 1585 × 8627 ) / 1

LCM(1585,8627) = 13673795 / 1

LCM(1585,8627) = 13673795


Lets's calculate GCF of 796,173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13673795/1

Therefore the LCM of Fractions 1585/796,8627/173 is 13673795

Greatest Common Factor of 796,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,173 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 796,173 . The biggest common factor number is the GCF number.
So the greatest common factor 796,173 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1585/796, 8627/173

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 1585/796, 8627/173?

Answer: LCM of Numerators as per given numbers 1585/796, 8627/173 is

LCM of Numerators i.e. for 1585,8627 is 13673795

GCF of denominators i.e. for 796,173 is 1.

Thus, LCM of Fractions is 13673795.Finally, LCM of Fractions for 1585/796, 8627/173 is 13673795.