Least Common Multiple of 55/229, 74/612, 643/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/229, 74/612, 643/627 quickly i.e. 2617010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/229, 74/612, 643/627 is 2617010.

LCM(55/229, 74/612, 643/627) = 2617010

LCM of 55/229, 74/612, 643/627

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 55/229,74/612,643/627

Given numbers are 55/229,74/612,643/627

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 55,74,643

Least Common Multiple of Numerators i.e. LCM of 55,74,643 is 2617010.

GCF of Denominators means GCF of 229,612,627 as per the given fractions.

GCF of 229,612,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,74,643

LCM of Fractions 55/229,74/612,643/627 is 2617010

Given numbers has no common factors except 1. So, there LCM is their product i.e 2617010

Least Common Multiple of 55,74,643 with GCF Formula

Least Common Multiple of 55,74,643 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 55,74,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,74,643) = 1

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

GCF(55,74,643) x common factors =1 x 1 = 1

LCM(55,74,643) = ( 55 × 74 × 643 ) / 1

LCM(55,74,643) = 2617010 / 1

LCM(55,74,643) = 2617010


Lets's calculate GCF of 229,612,627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2617010/1

Therefore the LCM of Fractions 55/229,74/612,643/627 is 2617010

Greatest Common Factor of 229,612,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 229,612,627 By Matching Biggest Common Factor Method

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

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 229,612,627 . The biggest common factor number is the GCF number.
So the greatest common factor 229,612,627 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 55/229, 74/612, 643/627

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 55/229, 74/612, 643/627?

Answer: LCM of Numerators as per given numbers 55/229, 74/612, 643/627 is

LCM of Numerators i.e. for 55,74,643 is 2617010

GCF of denominators i.e. for 229,612,627 is 1.

Thus, LCM of Fractions is 2617010.Finally, LCM of Fractions for 55/229, 74/612, 643/627 is 2617010.