Least Common Multiple of 84/534, 31/770, 199/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/534, 31/770, 199/627 quickly i.e. 518196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/534, 31/770, 199/627 is 518196.

LCM(84/534, 31/770, 199/627) = 518196

LCM of 84/534, 31/770, 199/627

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 84/534,31/770,199/627

Given numbers are 84/534,31/770,199/627

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 84,31,199

Least Common Multiple of Numerators i.e. LCM of 84,31,199 is 518196.

GCF of Denominators means GCF of 534,770,627 as per the given fractions.

GCF of 534,770,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,31,199

LCM of Fractions 84/534,31/770,199/627 is 518196

Given numbers has no common factors except 1. So, there LCM is their product i.e 518196

Least Common Multiple of 84,31,199 with GCF Formula

Least Common Multiple of 84,31,199 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 84,31,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,31,199) = 1

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

GCF(84,31,199) x common factors =1 x 1 = 1

LCM(84,31,199) = ( 84 × 31 × 199 ) / 1

LCM(84,31,199) = 518196 / 1

LCM(84,31,199) = 518196


Lets's calculate GCF of 534,770,627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 518196/1

Therefore the LCM of Fractions 84/534,31/770,199/627 is 518196

Greatest Common Factor of 534,770,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,770,627 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 534,770,627 . The biggest common factor number is the GCF number.
So the greatest common factor 534,770,627 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 84/534, 31/770, 199/627

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 84/534, 31/770, 199/627?

Answer: LCM of Numerators as per given numbers 84/534, 31/770, 199/627 is

LCM of Numerators i.e. for 84,31,199 is 518196

GCF of denominators i.e. for 534,770,627 is 1.

Thus, LCM of Fractions is 518196.Finally, LCM of Fractions for 84/534, 31/770, 199/627 is 518196.