Least Common Multiple of 1200/228, 6502/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1200/228, 6502/669 quickly i.e. 1300400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1200/228, 6502/669 is 1300400.

LCM(1200/228, 6502/669) = 1300400

LCM of 1200/228, 6502/669

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 1200/228,6502/669

Given numbers are 1200/228,6502/669

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 1200,6502

Least Common Multiple of Numerators i.e. LCM of 1200,6502 is 3901200.

GCF of Denominators means GCF of 228,669 as per the given fractions.

GCF of 228,669 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1200,6502

LCM of Fractions 1200/228,6502/669 is 1300400

2 1200, 6502
600, 3251

∴ So the LCM of the given numbers is 2 x 600 x 3251 = 3901200

Least Common Multiple of 1200,6502 with GCF Formula

Least Common Multiple of 1200,6502 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 1200,6502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1200,6502) = 2

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

GCF(1200,6502) x common factors =2 x 1 = 2

LCM(1200,6502) = ( 1200 × 6502 ) / 2

LCM(1200,6502) = 7802400 / 2

LCM(1200,6502) = 3901200


Lets's calculate GCF of 228,669

3 228, 669
76, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3901200/3

Therefore the LCM of Fractions 1200/228,6502/669 is 1300400

Greatest Common Factor of 228,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,669 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 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 228,669 . The biggest common factor number is the GCF number.
So the greatest common factor 228,669 is 3.


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 1200/228, 6502/669

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 1200/228, 6502/669?

Answer: LCM of Numerators as per given numbers 1200/228, 6502/669 is

LCM of Numerators i.e. for 1200,6502 is 3901200

GCF of denominators i.e. for 228,669 is 3.

Thus, LCM of Fractions is 1300400.Finally, LCM of Fractions for 1200/228, 6502/669 is 1300400.