Least Common Multiple of 306/350, 6422/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/350, 6422/234 quickly i.e. 491283 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/350, 6422/234 is 491283.

LCM(306/350, 6422/234) = 491283

LCM of 306/350, 6422/234

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 306/350,6422/234

Given numbers are 306/350,6422/234

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 306,6422

Least Common Multiple of Numerators i.e. LCM of 306,6422 is 982566.

GCF of Denominators means GCF of 350,234 as per the given fractions.

GCF of 350,234 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,6422

LCM of Fractions 306/350,6422/234 is 491283

2 306, 6422
153, 3211

∴ So the LCM of the given numbers is 2 x 153 x 3211 = 982566

Least Common Multiple of 306,6422 with GCF Formula

Least Common Multiple of 306,6422 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 306,6422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,6422) = 2

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

GCF(306,6422) x common factors =2 x 1 = 2

LCM(306,6422) = ( 306 × 6422 ) / 2

LCM(306,6422) = 1965132 / 2

LCM(306,6422) = 982566


Lets's calculate GCF of 350,234

2 350, 234
175, 117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 982566/2

Therefore the LCM of Fractions 306/350,6422/234 is 491283

Greatest Common Factor of 350,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,234 By Matching Biggest Common Factor Method

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

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 350,234 . The biggest common factor number is the GCF number.
So the greatest common factor 350,234 is 2.


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 306/350, 6422/234

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 306/350, 6422/234?

Answer: LCM of Numerators as per given numbers 306/350, 6422/234 is

LCM of Numerators i.e. for 306,6422 is 982566

GCF of denominators i.e. for 350,234 is 2.

Thus, LCM of Fractions is 491283.Finally, LCM of Fractions for 306/350, 6422/234 is 491283.