Least Common Multiple of 816/228, 1657/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/228, 1657/652 quickly i.e. 338028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 816/228, 1657/652 is 338028.

LCM(816/228, 1657/652) = 338028

LCM of 816/228, 1657/652

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 816/228,1657/652

Given numbers are 816/228,1657/652

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 816,1657

Least Common Multiple of Numerators i.e. LCM of 816,1657 is 1352112.

GCF of Denominators means GCF of 228,652 as per the given fractions.

GCF of 228,652 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,1657

LCM of Fractions 816/228,1657/652 is 338028

Given numbers has no common factors except 1. So, there LCM is their product i.e 1352112

Least Common Multiple of 816,1657 with GCF Formula

Least Common Multiple of 816,1657 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 816,1657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,1657) = 1

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

GCF(816,1657) x common factors =1 x 1 = 1

LCM(816,1657) = ( 816 × 1657 ) / 1

LCM(816,1657) = 1352112 / 1

LCM(816,1657) = 1352112


Lets's calculate GCF of 228,652

2 228, 652
2 114, 326
57, 163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1352112/4

Therefore the LCM of Fractions 816/228,1657/652 is 338028

Greatest Common Factor of 228,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,652 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 228,652 . The biggest common factor number is the GCF number.
So the greatest common factor 228,652 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 816/228, 1657/652

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 816/228, 1657/652?

Answer: LCM of Numerators as per given numbers 816/228, 1657/652 is

LCM of Numerators i.e. for 816,1657 is 1352112

GCF of denominators i.e. for 228,652 is 4.

Thus, LCM of Fractions is 338028.Finally, LCM of Fractions for 816/228, 1657/652 is 338028.