Least Common Multiple of 94/200, 44/368, 570/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/200, 44/368, 570/818 quickly i.e. 294690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/200, 44/368, 570/818 is 294690.

LCM(94/200, 44/368, 570/818) = 294690

LCM of 94/200, 44/368, 570/818

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 94/200,44/368,570/818

Given numbers are 94/200,44/368,570/818

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 94,44,570

Least Common Multiple of Numerators i.e. LCM of 94,44,570 is 589380.

GCF of Denominators means GCF of 200,368,818 as per the given fractions.

GCF of 200,368,818 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,44,570

LCM of Fractions 94/200,44/368,570/818 is 294690

2 94, 44, 570
47, 22, 285

∴ So the LCM of the given numbers is 2 x 47 x 22 x 285 = 589380

Least Common Multiple of 94,44,570 with GCF Formula

Least Common Multiple of 94,44,570 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 94,44,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,44,570) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(94,44,570) x common factors =2 x 2 = 4

LCM(94,44,570) = ( 94 × 44 × 570 ) / 4

LCM(94,44,570) = 2357520 / 4

LCM(94,44,570) = 589380


Lets's calculate GCF of 200,368,818

2 200, 368, 818
100, 184, 409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 589380/2

Therefore the LCM of Fractions 94/200,44/368,570/818 is 294690

Greatest Common Factor of 200,368,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,368,818 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 200,368,818 . The biggest common factor number is the GCF number.
So the greatest common factor 200,368,818 is 2.


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 94/200, 44/368, 570/818

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 94/200, 44/368, 570/818?

Answer: LCM of Numerators as per given numbers 94/200, 44/368, 570/818 is

LCM of Numerators i.e. for 94,44,570 is 589380

GCF of denominators i.e. for 200,368,818 is 2.

Thus, LCM of Fractions is 294690.Finally, LCM of Fractions for 94/200, 44/368, 570/818 is 294690.