Least Common Multiple of 165/219, 653/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/219, 653/434 quickly i.e. 107745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/219, 653/434 is 107745.

LCM(165/219, 653/434) = 107745

LCM of 165/219, 653/434

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 165/219,653/434

Given numbers are 165/219,653/434

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 165,653

Least Common Multiple of Numerators i.e. LCM of 165,653 is 107745.

GCF of Denominators means GCF of 219,434 as per the given fractions.

GCF of 219,434 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,653

LCM of Fractions 165/219,653/434 is 107745

Given numbers has no common factors except 1. So, there LCM is their product i.e 107745

Least Common Multiple of 165,653 with GCF Formula

Least Common Multiple of 165,653 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 165,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,653) = 1

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

GCF(165,653) x common factors =1 x 1 = 1

LCM(165,653) = ( 165 × 653 ) / 1

LCM(165,653) = 107745 / 1

LCM(165,653) = 107745


Lets's calculate GCF of 219,434

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107745/1

Therefore the LCM of Fractions 165/219,653/434 is 107745

Greatest Common Factor of 219,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,434 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 219,434 . The biggest common factor number is the GCF number.
So the greatest common factor 219,434 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 165/219, 653/434

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 165/219, 653/434?

Answer: LCM of Numerators as per given numbers 165/219, 653/434 is

LCM of Numerators i.e. for 165,653 is 107745

GCF of denominators i.e. for 219,434 is 1.

Thus, LCM of Fractions is 107745.Finally, LCM of Fractions for 165/219, 653/434 is 107745.