Least Common Multiple of 690/327, 526/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 690/327, 526/218 quickly i.e. 181470/109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/327, 526/218 is 181470/109.

LCM(690/327, 526/218) = 181470/109

LCM of 690/327, 526/218

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 690/327,526/218

Given numbers are 690/327,526/218

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 690,526

Least Common Multiple of Numerators i.e. LCM of 690,526 is 181470.

GCF of Denominators means GCF of 327,218 as per the given fractions.

GCF of 327,218 is 109 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,526

LCM of Fractions 690/327,526/218 is 181470/109

2 690, 526
345, 263

∴ So the LCM of the given numbers is 2 x 345 x 263 = 181470

Least Common Multiple of 690,526 with GCF Formula

Least Common Multiple of 690,526 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 690,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,526) = 2

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

GCF(690,526) x common factors =2 x 1 = 2

LCM(690,526) = ( 690 × 526 ) / 2

LCM(690,526) = 362940 / 2

LCM(690,526) = 181470


Lets's calculate GCF of 327,218

109 327, 218
3, 2

∴ So the GCF of the given numbers is 109 = 109

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181470/109

Therefore the LCM of Fractions 690/327,526/218 is 181470/109

Greatest Common Factor of 327,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,218 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 327,218 . The biggest common factor number is the GCF number.
So the greatest common factor 327,218 is 109.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 690/327, 526/218

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 690/327, 526/218?

Answer: LCM of Numerators as per given numbers 690/327, 526/218 is

LCM of Numerators i.e. for 690,526 is 181470

GCF of denominators i.e. for 327,218 is 109.

Thus, LCM of Fractions is 181470/109.Finally, LCM of Fractions for 690/327, 526/218 is 181470/109.