Least Common Multiple of 452/655, 656/469, 189/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 452/655, 656/469, 189/526 quickly i.e. 14010192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 452/655, 656/469, 189/526 is 14010192.

LCM(452/655, 656/469, 189/526) = 14010192

LCM of 452/655, 656/469, 189/526

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 452/655,656/469,189/526

Given numbers are 452/655,656/469,189/526

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 452,656,189

Least Common Multiple of Numerators i.e. LCM of 452,656,189 is 14010192.

GCF of Denominators means GCF of 655,469,526 as per the given fractions.

GCF of 655,469,526 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 452,656,189

LCM of Fractions 452/655,656/469,189/526 is 14010192

2 452, 656, 189
2 226, 328, 189
113, 164, 189

∴ So the LCM of the given numbers is 2 x 2 x 113 x 164 x 189 = 14010192

Least Common Multiple of 452,656,189 with GCF Formula

Least Common Multiple of 452,656,189 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 452,656,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,656,189) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(452,656,189) x common factors =1 x 4 = 4

LCM(452,656,189) = ( 452 × 656 × 189 ) / 4

LCM(452,656,189) = 56040768 / 4

LCM(452,656,189) = 14010192


Lets's calculate GCF of 655,469,526

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14010192/1

Therefore the LCM of Fractions 452/655,656/469,189/526 is 14010192

Greatest Common Factor of 655,469,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,469,526 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 655,469,526 . The biggest common factor number is the GCF number.
So the greatest common factor 655,469,526 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 452/655, 656/469, 189/526

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 452/655, 656/469, 189/526?

Answer: LCM of Numerators as per given numbers 452/655, 656/469, 189/526 is

LCM of Numerators i.e. for 452,656,189 is 14010192

GCF of denominators i.e. for 655,469,526 is 1.

Thus, LCM of Fractions is 14010192.Finally, LCM of Fractions for 452/655, 656/469, 189/526 is 14010192.