Least Common Multiple of 314/25, 447/6913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/25, 447/6913 quickly i.e. 140358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/25, 447/6913 is 140358.

LCM(314/25, 447/6913) = 140358

LCM of 314/25, 447/6913

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 314/25,447/6913

Given numbers are 314/25,447/6913

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 314,447

Least Common Multiple of Numerators i.e. LCM of 314,447 is 140358.

GCF of Denominators means GCF of 25,6913 as per the given fractions.

GCF of 25,6913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,447

LCM of Fractions 314/25,447/6913 is 140358

Given numbers has no common factors except 1. So, there LCM is their product i.e 140358

Least Common Multiple of 314,447 with GCF Formula

Least Common Multiple of 314,447 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 314,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,447) = 1

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

GCF(314,447) x common factors =1 x 1 = 1

LCM(314,447) = ( 314 × 447 ) / 1

LCM(314,447) = 140358 / 1

LCM(314,447) = 140358


Lets's calculate GCF of 25,6913

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140358/1

Therefore the LCM of Fractions 314/25,447/6913 is 140358

Greatest Common Factor of 25,6913 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,6913 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 6913

List of positive integer factors of 6913 that divides 6913 without a remainder.

1,31,223,6913

Greatest Common Factor

We found the factors 25,6913 . The biggest common factor number is the GCF number.
So the greatest common factor 25,6913 is 1.


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 314/25, 447/6913

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 314/25, 447/6913?

Answer: LCM of Numerators as per given numbers 314/25, 447/6913 is

LCM of Numerators i.e. for 314,447 is 140358

GCF of denominators i.e. for 25,6913 is 1.

Thus, LCM of Fractions is 140358.Finally, LCM of Fractions for 314/25, 447/6913 is 140358.