Least Common Multiple of 1785/163, 8129/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1785/163, 8129/169 quickly i.e. 14510265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1785/163, 8129/169 is 14510265.

LCM(1785/163, 8129/169) = 14510265

LCM of 1785/163, 8129/169

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 1785/163,8129/169

Given numbers are 1785/163,8129/169

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 1785,8129

Least Common Multiple of Numerators i.e. LCM of 1785,8129 is 14510265.

GCF of Denominators means GCF of 163,169 as per the given fractions.

GCF of 163,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1785,8129

LCM of Fractions 1785/163,8129/169 is 14510265

Given numbers has no common factors except 1. So, there LCM is their product i.e 14510265

Least Common Multiple of 1785,8129 with GCF Formula

Least Common Multiple of 1785,8129 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 1785,8129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1785,8129) = 1

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

GCF(1785,8129) x common factors =1 x 1 = 1

LCM(1785,8129) = ( 1785 × 8129 ) / 1

LCM(1785,8129) = 14510265 / 1

LCM(1785,8129) = 14510265


Lets's calculate GCF of 163,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14510265/1

Therefore the LCM of Fractions 1785/163,8129/169 is 14510265

Greatest Common Factor of 163,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 163,169 By Matching Biggest Common Factor Method

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 163,169 . The biggest common factor number is the GCF number.
So the greatest common factor 163,169 is 1.


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 1785/163, 8129/169

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 1785/163, 8129/169?

Answer: LCM of Numerators as per given numbers 1785/163, 8129/169 is

LCM of Numerators i.e. for 1785,8129 is 14510265

GCF of denominators i.e. for 163,169 is 1.

Thus, LCM of Fractions is 14510265.Finally, LCM of Fractions for 1785/163, 8129/169 is 14510265.