Least Common Multiple of 19/316, 3271/4260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/316, 3271/4260 quickly i.e. 62149/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/316, 3271/4260 is 62149/4.

LCM(19/316, 3271/4260) = 62149/4

LCM of 19/316, 3271/4260

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 19/316,3271/4260

Given numbers are 19/316,3271/4260

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 19,3271

Least Common Multiple of Numerators i.e. LCM of 19,3271 is 62149.

GCF of Denominators means GCF of 316,4260 as per the given fractions.

GCF of 316,4260 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,3271

LCM of Fractions 19/316,3271/4260 is 62149/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 62149

Least Common Multiple of 19,3271 with GCF Formula

Least Common Multiple of 19,3271 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 19,3271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,3271) = 1

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

GCF(19,3271) x common factors =1 x 1 = 1

LCM(19,3271) = ( 19 × 3271 ) / 1

LCM(19,3271) = 62149 / 1

LCM(19,3271) = 62149


Lets's calculate GCF of 316,4260

2 316, 4260
2 158, 2130
79, 1065

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62149/4

Therefore the LCM of Fractions 19/316,3271/4260 is 62149/4

Greatest Common Factor of 316,4260 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,4260 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 4260

List of positive integer factors of 4260 that divides 4260 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,71,142,213,284,355,426,710,852,1065,1420,2130,4260

Greatest Common Factor

We found the factors 316,4260 . The biggest common factor number is the GCF number.
So the greatest common factor 316,4260 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 19/316, 3271/4260

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 19/316, 3271/4260?

Answer: LCM of Numerators as per given numbers 19/316, 3271/4260 is

LCM of Numerators i.e. for 19,3271 is 62149

GCF of denominators i.e. for 316,4260 is 4.

Thus, LCM of Fractions is 62149/4.Finally, LCM of Fractions for 19/316, 3271/4260 is 62149/4.