Least Common Multiple of 879/80, 827/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 879/80, 827/605 quickly i.e. 726933/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 879/80, 827/605 is 726933/5.

LCM(879/80, 827/605) = 726933/5

LCM of 879/80, 827/605

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 879/80,827/605

Given numbers are 879/80,827/605

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 879,827

Least Common Multiple of Numerators i.e. LCM of 879,827 is 726933.

GCF of Denominators means GCF of 80,605 as per the given fractions.

GCF of 80,605 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 879,827

LCM of Fractions 879/80,827/605 is 726933/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 726933

Least Common Multiple of 879,827 with GCF Formula

Least Common Multiple of 879,827 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 879,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(879,827) = 1

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

GCF(879,827) x common factors =1 x 1 = 1

LCM(879,827) = ( 879 × 827 ) / 1

LCM(879,827) = 726933 / 1

LCM(879,827) = 726933


Lets's calculate GCF of 80,605

5 80, 605
16, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 726933/5

Therefore the LCM of Fractions 879/80,827/605 is 726933/5

Greatest Common Factor of 80,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,605 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 80,605 . The biggest common factor number is the GCF number.
So the greatest common factor 80,605 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 879/80, 827/605

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 879/80, 827/605?

Answer: LCM of Numerators as per given numbers 879/80, 827/605 is

LCM of Numerators i.e. for 879,827 is 726933

GCF of denominators i.e. for 80,605 is 5.

Thus, LCM of Fractions is 726933/5.Finally, LCM of Fractions for 879/80, 827/605 is 726933/5.