Least Common Multiple of 71/230, 49/264, 545/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/230, 49/264, 545/662 quickly i.e. 1896055/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/230, 49/264, 545/662 is 1896055/2.

LCM(71/230, 49/264, 545/662) = 1896055/2

LCM of 71/230, 49/264, 545/662

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 71/230,49/264,545/662

Given numbers are 71/230,49/264,545/662

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 71,49,545

Least Common Multiple of Numerators i.e. LCM of 71,49,545 is 1896055.

GCF of Denominators means GCF of 230,264,662 as per the given fractions.

GCF of 230,264,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,49,545

LCM of Fractions 71/230,49/264,545/662 is 1896055/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1896055

Least Common Multiple of 71,49,545 with GCF Formula

Least Common Multiple of 71,49,545 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 71,49,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,49,545) = 1

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

GCF(71,49,545) x common factors =1 x 1 = 1

LCM(71,49,545) = ( 71 × 49 × 545 ) / 1

LCM(71,49,545) = 1896055 / 1

LCM(71,49,545) = 1896055


Lets's calculate GCF of 230,264,662

2 230, 264, 662
115, 132, 331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1896055/2

Therefore the LCM of Fractions 71/230,49/264,545/662 is 1896055/2

Greatest Common Factor of 230,264,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,264,662 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 230,264,662 . The biggest common factor number is the GCF number.
So the greatest common factor 230,264,662 is 2.


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 71/230, 49/264, 545/662

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 71/230, 49/264, 545/662?

Answer: LCM of Numerators as per given numbers 71/230, 49/264, 545/662 is

LCM of Numerators i.e. for 71,49,545 is 1896055

GCF of denominators i.e. for 230,264,662 is 2.

Thus, LCM of Fractions is 1896055/2.Finally, LCM of Fractions for 71/230, 49/264, 545/662 is 1896055/2.