Least Common Multiple of 23/772, 8659/8280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/772, 8659/8280 quickly i.e. 199157/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/772, 8659/8280 is 199157/4.

LCM(23/772, 8659/8280) = 199157/4

LCM of 23/772, 8659/8280

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 23/772,8659/8280

Given numbers are 23/772,8659/8280

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 23,8659

Least Common Multiple of Numerators i.e. LCM of 23,8659 is 199157.

GCF of Denominators means GCF of 772,8280 as per the given fractions.

GCF of 772,8280 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,8659

LCM of Fractions 23/772,8659/8280 is 199157/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 199157

Least Common Multiple of 23,8659 with GCF Formula

Least Common Multiple of 23,8659 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 23,8659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,8659) = 1

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

GCF(23,8659) x common factors =1 x 1 = 1

LCM(23,8659) = ( 23 × 8659 ) / 1

LCM(23,8659) = 199157 / 1

LCM(23,8659) = 199157


Lets's calculate GCF of 772,8280

2 772, 8280
2 386, 4140
193, 2070

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199157/4

Therefore the LCM of Fractions 23/772,8659/8280 is 199157/4

Greatest Common Factor of 772,8280 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,8280 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 8280

List of positive integer factors of 8280 that divides 8280 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280

Greatest Common Factor

We found the factors 772,8280 . The biggest common factor number is the GCF number.
So the greatest common factor 772,8280 is 4.


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 23/772, 8659/8280

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 23/772, 8659/8280?

Answer: LCM of Numerators as per given numbers 23/772, 8659/8280 is

LCM of Numerators i.e. for 23,8659 is 199157

GCF of denominators i.e. for 772,8280 is 4.

Thus, LCM of Fractions is 199157/4.Finally, LCM of Fractions for 23/772, 8659/8280 is 199157/4.