Least Common Multiple of 68/33, 809/56, 497/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/33, 809/56, 497/672 quickly i.e. 27340964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/33, 809/56, 497/672 is 27340964.

LCM(68/33, 809/56, 497/672) = 27340964

LCM of 68/33, 809/56, 497/672

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 68/33,809/56,497/672

Given numbers are 68/33,809/56,497/672

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 68,809,497

Least Common Multiple of Numerators i.e. LCM of 68,809,497 is 27340964.

GCF of Denominators means GCF of 33,56,672 as per the given fractions.

GCF of 33,56,672 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,809,497

LCM of Fractions 68/33,809/56,497/672 is 27340964

Given numbers has no common factors except 1. So, there LCM is their product i.e 27340964

Least Common Multiple of 68,809,497 with GCF Formula

Least Common Multiple of 68,809,497 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 68,809,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,809,497) = 1

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

GCF(68,809,497) x common factors =1 x 1 = 1

LCM(68,809,497) = ( 68 × 809 × 497 ) / 1

LCM(68,809,497) = 27340964 / 1

LCM(68,809,497) = 27340964


Lets's calculate GCF of 33,56,672

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27340964/1

Therefore the LCM of Fractions 68/33,809/56,497/672 is 27340964

Greatest Common Factor of 33,56,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,56,672 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 33,56,672 . The biggest common factor number is the GCF number.
So the greatest common factor 33,56,672 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 68/33, 809/56, 497/672

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 68/33, 809/56, 497/672?

Answer: LCM of Numerators as per given numbers 68/33, 809/56, 497/672 is

LCM of Numerators i.e. for 68,809,497 is 27340964

GCF of denominators i.e. for 33,56,672 is 1.

Thus, LCM of Fractions is 27340964.Finally, LCM of Fractions for 68/33, 809/56, 497/672 is 27340964.