Least Common Multiple of 19/847, 8412/6457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/847, 8412/6457 quickly i.e. 159828/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/847, 8412/6457 is 159828/11.

LCM(19/847, 8412/6457) = 159828/11

LCM of 19/847, 8412/6457

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 19/847,8412/6457

Given numbers are 19/847,8412/6457

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 19,8412

Least Common Multiple of Numerators i.e. LCM of 19,8412 is 159828.

GCF of Denominators means GCF of 847,6457 as per the given fractions.

GCF of 847,6457 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,8412

LCM of Fractions 19/847,8412/6457 is 159828/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 159828

Least Common Multiple of 19,8412 with GCF Formula

Least Common Multiple of 19,8412 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 19,8412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,8412) = 1

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

GCF(19,8412) x common factors =1 x 1 = 1

LCM(19,8412) = ( 19 × 8412 ) / 1

LCM(19,8412) = 159828 / 1

LCM(19,8412) = 159828


Lets's calculate GCF of 847,6457

11 847, 6457
77, 587

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159828/11

Therefore the LCM of Fractions 19/847,8412/6457 is 159828/11

Greatest Common Factor of 847,6457 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,6457 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 6457

List of positive integer factors of 6457 that divides 6457 without a remainder.

1,11,587,6457

Greatest Common Factor

We found the factors 847,6457 . The biggest common factor number is the GCF number.
So the greatest common factor 847,6457 is 11.


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Frequently Asked Questions on Fractional LCM of 19/847, 8412/6457

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 19/847, 8412/6457?

Answer: LCM of Numerators as per given numbers 19/847, 8412/6457 is

LCM of Numerators i.e. for 19,8412 is 159828

GCF of denominators i.e. for 847,6457 is 11.

Thus, LCM of Fractions is 159828/11.Finally, LCM of Fractions for 19/847, 8412/6457 is 159828/11.