Least Common Multiple of 19/295, 3196/6380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/295, 3196/6380 quickly i.e. 60724/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/295, 3196/6380 is 60724/5.

LCM(19/295, 3196/6380) = 60724/5

LCM of 19/295, 3196/6380

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 19/295,3196/6380

Given numbers are 19/295,3196/6380

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 19,3196

Least Common Multiple of Numerators i.e. LCM of 19,3196 is 60724.

GCF of Denominators means GCF of 295,6380 as per the given fractions.

GCF of 295,6380 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,3196

LCM of Fractions 19/295,3196/6380 is 60724/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 60724

Least Common Multiple of 19,3196 with GCF Formula

Least Common Multiple of 19,3196 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 19,3196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,3196) = 1

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

GCF(19,3196) x common factors =1 x 1 = 1

LCM(19,3196) = ( 19 × 3196 ) / 1

LCM(19,3196) = 60724 / 1

LCM(19,3196) = 60724


Lets's calculate GCF of 295,6380

5 295, 6380
59, 1276

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60724/5

Therefore the LCM of Fractions 19/295,3196/6380 is 60724/5

Greatest Common Factor of 295,6380 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,6380 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 6380

List of positive integer factors of 6380 that divides 6380 without a remainder.

1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380

Greatest Common Factor

We found the factors 295,6380 . The biggest common factor number is the GCF number.
So the greatest common factor 295,6380 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 19/295, 3196/6380

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 19/295, 3196/6380?

Answer: LCM of Numerators as per given numbers 19/295, 3196/6380 is

LCM of Numerators i.e. for 19,3196 is 60724

GCF of denominators i.e. for 295,6380 is 5.

Thus, LCM of Fractions is 60724/5.Finally, LCM of Fractions for 19/295, 3196/6380 is 60724/5.