Least Common Multiple of 234/670, 8345/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/670, 8345/380 quickly i.e. 195273 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/670, 8345/380 is 195273.

LCM(234/670, 8345/380) = 195273

LCM of 234/670, 8345/380

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 234/670,8345/380

Given numbers are 234/670,8345/380

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 234,8345

Least Common Multiple of Numerators i.e. LCM of 234,8345 is 1952730.

GCF of Denominators means GCF of 670,380 as per the given fractions.

GCF of 670,380 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,8345

LCM of Fractions 234/670,8345/380 is 195273

Given numbers has no common factors except 1. So, there LCM is their product i.e 1952730

Least Common Multiple of 234,8345 with GCF Formula

Least Common Multiple of 234,8345 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 234,8345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,8345) = 1

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

GCF(234,8345) x common factors =1 x 1 = 1

LCM(234,8345) = ( 234 × 8345 ) / 1

LCM(234,8345) = 1952730 / 1

LCM(234,8345) = 1952730


Lets's calculate GCF of 670,380

2 670, 380
5 335, 190
67, 38

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1952730/10

Therefore the LCM of Fractions 234/670,8345/380 is 195273

Greatest Common Factor of 670,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,380 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 670,380 . The biggest common factor number is the GCF number.
So the greatest common factor 670,380 is 10.


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 234/670, 8345/380

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 234/670, 8345/380?

Answer: LCM of Numerators as per given numbers 234/670, 8345/380 is

LCM of Numerators i.e. for 234,8345 is 1952730

GCF of denominators i.e. for 670,380 is 10.

Thus, LCM of Fractions is 195273.Finally, LCM of Fractions for 234/670, 8345/380 is 195273.