Least Common Multiple of 849/75, 997/4214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/75, 997/4214 quickly i.e. 846453 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/75, 997/4214 is 846453.

LCM(849/75, 997/4214) = 846453

LCM of 849/75, 997/4214

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 849/75,997/4214

Given numbers are 849/75,997/4214

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 849,997

Least Common Multiple of Numerators i.e. LCM of 849,997 is 846453.

GCF of Denominators means GCF of 75,4214 as per the given fractions.

GCF of 75,4214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,997

LCM of Fractions 849/75,997/4214 is 846453

Given numbers has no common factors except 1. So, there LCM is their product i.e 846453

Least Common Multiple of 849,997 with GCF Formula

Least Common Multiple of 849,997 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 849,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,997) = 1

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

GCF(849,997) x common factors =1 x 1 = 1

LCM(849,997) = ( 849 × 997 ) / 1

LCM(849,997) = 846453 / 1

LCM(849,997) = 846453


Lets's calculate GCF of 75,4214

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 846453/1

Therefore the LCM of Fractions 849/75,997/4214 is 846453

Greatest Common Factor of 75,4214 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,4214 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 4214

List of positive integer factors of 4214 that divides 4214 without a remainder.

1,2,7,14,43,49,86,98,301,602,2107,4214

Greatest Common Factor

We found the factors 75,4214 . The biggest common factor number is the GCF number.
So the greatest common factor 75,4214 is 1.


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 849/75, 997/4214

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 849/75, 997/4214?

Answer: LCM of Numerators as per given numbers 849/75, 997/4214 is

LCM of Numerators i.e. for 849,997 is 846453

GCF of denominators i.e. for 75,4214 is 1.

Thus, LCM of Fractions is 846453.Finally, LCM of Fractions for 849/75, 997/4214 is 846453.