Least Common Multiple of 200/756, 144/993, 354/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 200/756, 144/993, 354/552 quickly i.e. 70800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 200/756, 144/993, 354/552 is 70800.

LCM(200/756, 144/993, 354/552) = 70800

LCM of 200/756, 144/993, 354/552

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 200/756,144/993,354/552

Given numbers are 200/756,144/993,354/552

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 200,144,354

Least Common Multiple of Numerators i.e. LCM of 200,144,354 is 212400.

GCF of Denominators means GCF of 756,993,552 as per the given fractions.

GCF of 756,993,552 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 200,144,354

LCM of Fractions 200/756,144/993,354/552 is 70800

2 200, 144, 354
2 100, 72, 177
2 50, 36, 177
3 25, 18, 177
25, 6, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 25 x 6 x 59 = 212400

Least Common Multiple of 200,144,354 with GCF Formula

Least Common Multiple of 200,144,354 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 200,144,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,144,354) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(200,144,354) x common factors =2 x 24 = 48

LCM(200,144,354) = ( 200 × 144 × 354 ) / 48

LCM(200,144,354) = 10195200 / 48

LCM(200,144,354) = 212400


Lets's calculate GCF of 756,993,552

3 756, 993, 552
252, 331, 184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212400/3

Therefore the LCM of Fractions 200/756,144/993,354/552 is 70800

Greatest Common Factor of 756,993,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,993,552 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 756,993,552 . The biggest common factor number is the GCF number.
So the greatest common factor 756,993,552 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 200/756, 144/993, 354/552

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 200/756, 144/993, 354/552?

Answer: LCM of Numerators as per given numbers 200/756, 144/993, 354/552 is

LCM of Numerators i.e. for 200,144,354 is 212400

GCF of denominators i.e. for 756,993,552 is 3.

Thus, LCM of Fractions is 70800.Finally, LCM of Fractions for 200/756, 144/993, 354/552 is 70800.