Least Common Multiple of 1609/94, 5189/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1609/94, 5189/652 quickly i.e. 8349101/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1609/94, 5189/652 is 8349101/2.

LCM(1609/94, 5189/652) = 8349101/2

LCM of 1609/94, 5189/652

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 1609/94,5189/652

Given numbers are 1609/94,5189/652

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 1609,5189

Least Common Multiple of Numerators i.e. LCM of 1609,5189 is 8349101.

GCF of Denominators means GCF of 94,652 as per the given fractions.

GCF of 94,652 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1609,5189

LCM of Fractions 1609/94,5189/652 is 8349101/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 8349101

Least Common Multiple of 1609,5189 with GCF Formula

Least Common Multiple of 1609,5189 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 1609,5189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1609,5189) = 1

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

GCF(1609,5189) x common factors =1 x 1 = 1

LCM(1609,5189) = ( 1609 × 5189 ) / 1

LCM(1609,5189) = 8349101 / 1

LCM(1609,5189) = 8349101


Lets's calculate GCF of 94,652

2 94, 652
47, 326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8349101/2

Therefore the LCM of Fractions 1609/94,5189/652 is 8349101/2

Greatest Common Factor of 94,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,652 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 94,652 . The biggest common factor number is the GCF number.
So the greatest common factor 94,652 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1609/94, 5189/652

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 1609/94, 5189/652?

Answer: LCM of Numerators as per given numbers 1609/94, 5189/652 is

LCM of Numerators i.e. for 1609,5189 is 8349101

GCF of denominators i.e. for 94,652 is 2.

Thus, LCM of Fractions is 8349101/2.Finally, LCM of Fractions for 1609/94, 5189/652 is 8349101/2.