Least Common Multiple of 314/125, 4670/3305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/125, 4670/3305 quickly i.e. 146638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/125, 4670/3305 is 146638.

LCM(314/125, 4670/3305) = 146638

LCM of 314/125, 4670/3305

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 314/125,4670/3305

Given numbers are 314/125,4670/3305

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 314,4670

Least Common Multiple of Numerators i.e. LCM of 314,4670 is 733190.

GCF of Denominators means GCF of 125,3305 as per the given fractions.

GCF of 125,3305 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,4670

LCM of Fractions 314/125,4670/3305 is 146638

2 314, 4670
157, 2335

∴ So the LCM of the given numbers is 2 x 157 x 2335 = 733190

Least Common Multiple of 314,4670 with GCF Formula

Least Common Multiple of 314,4670 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 314,4670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,4670) = 2

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

GCF(314,4670) x common factors =2 x 1 = 2

LCM(314,4670) = ( 314 × 4670 ) / 2

LCM(314,4670) = 1466380 / 2

LCM(314,4670) = 733190


Lets's calculate GCF of 125,3305

5 125, 3305
25, 661

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 733190/5

Therefore the LCM of Fractions 314/125,4670/3305 is 146638

Greatest Common Factor of 125,3305 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,3305 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 3305

List of positive integer factors of 3305 that divides 3305 without a remainder.

1,5,661,3305

Greatest Common Factor

We found the factors 125,3305 . The biggest common factor number is the GCF number.
So the greatest common factor 125,3305 is 5.


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 314/125, 4670/3305

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 314/125, 4670/3305?

Answer: LCM of Numerators as per given numbers 314/125, 4670/3305 is

LCM of Numerators i.e. for 314,4670 is 733190

GCF of denominators i.e. for 125,3305 is 5.

Thus, LCM of Fractions is 146638.Finally, LCM of Fractions for 314/125, 4670/3305 is 146638.