Least Common Multiple of 200/364, 407/340, 190/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 200/364, 407/340, 190/196 quickly i.e. 386650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 200/364, 407/340, 190/196 is 386650.

LCM(200/364, 407/340, 190/196) = 386650

LCM of 200/364, 407/340, 190/196

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 200/364,407/340,190/196

Given numbers are 200/364,407/340,190/196

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 200,407,190

Least Common Multiple of Numerators i.e. LCM of 200,407,190 is 1546600.

GCF of Denominators means GCF of 364,340,196 as per the given fractions.

GCF of 364,340,196 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 200,407,190

LCM of Fractions 200/364,407/340,190/196 is 386650

2 200, 407, 190
5 100, 407, 95
20, 407, 19

∴ So the LCM of the given numbers is 2 x 5 x 20 x 407 x 19 = 1546600

Least Common Multiple of 200,407,190 with GCF Formula

Least Common Multiple of 200,407,190 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 200,407,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,407,190) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(200,407,190) x common factors =1 x 10 = 10

LCM(200,407,190) = ( 200 × 407 × 190 ) / 10

LCM(200,407,190) = 15466000 / 10

LCM(200,407,190) = 1546600


Lets's calculate GCF of 364,340,196

2 364, 340, 196
2 182, 170, 98
91, 85, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1546600/4

Therefore the LCM of Fractions 200/364,407/340,190/196 is 386650

Greatest Common Factor of 364,340,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,340,196 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 364,340,196 . The biggest common factor number is the GCF number.
So the greatest common factor 364,340,196 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 200/364, 407/340, 190/196

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 200/364, 407/340, 190/196?

Answer: LCM of Numerators as per given numbers 200/364, 407/340, 190/196 is

LCM of Numerators i.e. for 200,407,190 is 1546600

GCF of denominators i.e. for 364,340,196 is 4.

Thus, LCM of Fractions is 386650.Finally, LCM of Fractions for 200/364, 407/340, 190/196 is 386650.