Least Common Multiple of 165/307, 5228/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/307, 5228/614 quickly i.e. 862620/307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/307, 5228/614 is 862620/307.

LCM(165/307, 5228/614) = 862620/307

LCM of 165/307, 5228/614

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 165/307,5228/614

Given numbers are 165/307,5228/614

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 165,5228

Least Common Multiple of Numerators i.e. LCM of 165,5228 is 862620.

GCF of Denominators means GCF of 307,614 as per the given fractions.

GCF of 307,614 is 307 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,5228

LCM of Fractions 165/307,5228/614 is 862620/307

Given numbers has no common factors except 1. So, there LCM is their product i.e 862620

Least Common Multiple of 165,5228 with GCF Formula

Least Common Multiple of 165,5228 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 165,5228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,5228) = 1

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

GCF(165,5228) x common factors =1 x 1 = 1

LCM(165,5228) = ( 165 × 5228 ) / 1

LCM(165,5228) = 862620 / 1

LCM(165,5228) = 862620


Lets's calculate GCF of 307,614

307 307, 614
1, 2

∴ So the GCF of the given numbers is 307 = 307

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 862620/307

Therefore the LCM of Fractions 165/307,5228/614 is 862620/307

Greatest Common Factor of 307,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,614 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 307,614 . The biggest common factor number is the GCF number.
So the greatest common factor 307,614 is 307.


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 165/307, 5228/614

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 165/307, 5228/614?

Answer: LCM of Numerators as per given numbers 165/307, 5228/614 is

LCM of Numerators i.e. for 165,5228 is 862620

GCF of denominators i.e. for 307,614 is 307.

Thus, LCM of Fractions is 862620/307.Finally, LCM of Fractions for 165/307, 5228/614 is 862620/307.