Least Common Multiple of 109/16, 674/62, 901/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 109/16, 674/62, 901/654 quickly i.e. 33096433 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/16, 674/62, 901/654 is 33096433.

LCM(109/16, 674/62, 901/654) = 33096433

LCM of 109/16, 674/62, 901/654

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 109/16,674/62,901/654

Given numbers are 109/16,674/62,901/654

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 109,674,901

Least Common Multiple of Numerators i.e. LCM of 109,674,901 is 66192866.

GCF of Denominators means GCF of 16,62,654 as per the given fractions.

GCF of 16,62,654 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,674,901

LCM of Fractions 109/16,674/62,901/654 is 33096433

Given numbers has no common factors except 1. So, there LCM is their product i.e 66192866

Least Common Multiple of 109,674,901 with GCF Formula

Least Common Multiple of 109,674,901 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 109,674,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,674,901) = 1

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

GCF(109,674,901) x common factors =1 x 1 = 1

LCM(109,674,901) = ( 109 × 674 × 901 ) / 1

LCM(109,674,901) = 66192866 / 1

LCM(109,674,901) = 66192866


Lets's calculate GCF of 16,62,654

2 16, 62, 654
8, 31, 327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66192866/2

Therefore the LCM of Fractions 109/16,674/62,901/654 is 33096433

Greatest Common Factor of 16,62,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,62,654 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 16,62,654 . The biggest common factor number is the GCF number.
So the greatest common factor 16,62,654 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 109/16, 674/62, 901/654

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 109/16, 674/62, 901/654?

Answer: LCM of Numerators as per given numbers 109/16, 674/62, 901/654 is

LCM of Numerators i.e. for 109,674,901 is 66192866

GCF of denominators i.e. for 16,62,654 is 2.

Thus, LCM of Fractions is 33096433.Finally, LCM of Fractions for 109/16, 674/62, 901/654 is 33096433.