Least Common Multiple of 612/609, 7308/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 612/609, 7308/350 quickly i.e. 17748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 612/609, 7308/350 is 17748.

LCM(612/609, 7308/350) = 17748

LCM of 612/609, 7308/350

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 612/609,7308/350

Given numbers are 612/609,7308/350

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 612,7308

Least Common Multiple of Numerators i.e. LCM of 612,7308 is 124236.

GCF of Denominators means GCF of 609,350 as per the given fractions.

GCF of 609,350 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 612,7308

LCM of Fractions 612/609,7308/350 is 17748

2 612, 7308
2 306, 3654
3 153, 1827
3 51, 609
17, 203

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 203 = 124236

Least Common Multiple of 612,7308 with GCF Formula

Least Common Multiple of 612,7308 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 612,7308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,7308) = 36

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

GCF(612,7308) x common factors =36 x 1 = 36

LCM(612,7308) = ( 612 × 7308 ) / 36

LCM(612,7308) = 4472496 / 36

LCM(612,7308) = 124236


Lets's calculate GCF of 609,350

7 609, 350
87, 50

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124236/7

Therefore the LCM of Fractions 612/609,7308/350 is 17748

Greatest Common Factor of 609,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,350 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 609,350 . The biggest common factor number is the GCF number.
So the greatest common factor 609,350 is 7.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 612/609, 7308/350

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 612/609, 7308/350?

Answer: LCM of Numerators as per given numbers 612/609, 7308/350 is

LCM of Numerators i.e. for 612,7308 is 124236

GCF of denominators i.e. for 609,350 is 7.

Thus, LCM of Fractions is 17748.Finally, LCM of Fractions for 612/609, 7308/350 is 17748.