Least Common Multiple of 8856/171, 8699/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8856/171, 8699/765 quickly i.e. 8559816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8856/171, 8699/765 is 8559816.

LCM(8856/171, 8699/765) = 8559816

LCM of 8856/171, 8699/765

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 8856/171,8699/765

Given numbers are 8856/171,8699/765

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 8856,8699

Least Common Multiple of Numerators i.e. LCM of 8856,8699 is 77038344.

GCF of Denominators means GCF of 171,765 as per the given fractions.

GCF of 171,765 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8856,8699

LCM of Fractions 8856/171,8699/765 is 8559816

Given numbers has no common factors except 1. So, there LCM is their product i.e 77038344

Least Common Multiple of 8856,8699 with GCF Formula

Least Common Multiple of 8856,8699 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 8856,8699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8856,8699) = 1

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

GCF(8856,8699) x common factors =1 x 1 = 1

LCM(8856,8699) = ( 8856 × 8699 ) / 1

LCM(8856,8699) = 77038344 / 1

LCM(8856,8699) = 77038344


Lets's calculate GCF of 171,765

3 171, 765
3 57, 255
19, 85

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77038344/9

Therefore the LCM of Fractions 8856/171,8699/765 is 8559816

Greatest Common Factor of 171,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,765 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 171,765 . The biggest common factor number is the GCF number.
So the greatest common factor 171,765 is 9.


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Frequently Asked Questions on Fractional LCM of 8856/171, 8699/765

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 8856/171, 8699/765?

Answer: LCM of Numerators as per given numbers 8856/171, 8699/765 is

LCM of Numerators i.e. for 8856,8699 is 77038344

GCF of denominators i.e. for 171,765 is 9.

Thus, LCM of Fractions is 8559816.Finally, LCM of Fractions for 8856/171, 8699/765 is 8559816.