Least Common Multiple of 68/463, 8305/6970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/463, 8305/6970 quickly i.e. 564740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/463, 8305/6970 is 564740.

LCM(68/463, 8305/6970) = 564740

LCM of 68/463, 8305/6970

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 68/463,8305/6970

Given numbers are 68/463,8305/6970

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 68,8305

Least Common Multiple of Numerators i.e. LCM of 68,8305 is 564740.

GCF of Denominators means GCF of 463,6970 as per the given fractions.

GCF of 463,6970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,8305

LCM of Fractions 68/463,8305/6970 is 564740

Given numbers has no common factors except 1. So, there LCM is their product i.e 564740

Least Common Multiple of 68,8305 with GCF Formula

Least Common Multiple of 68,8305 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 68,8305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,8305) = 1

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

GCF(68,8305) x common factors =1 x 1 = 1

LCM(68,8305) = ( 68 × 8305 ) / 1

LCM(68,8305) = 564740 / 1

LCM(68,8305) = 564740


Lets's calculate GCF of 463,6970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 564740/1

Therefore the LCM of Fractions 68/463,8305/6970 is 564740

Greatest Common Factor of 463,6970 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,6970 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 6970

List of positive integer factors of 6970 that divides 6970 without a remainder.

1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970

Greatest Common Factor

We found the factors 463,6970 . The biggest common factor number is the GCF number.
So the greatest common factor 463,6970 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 68/463, 8305/6970

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 68/463, 8305/6970?

Answer: LCM of Numerators as per given numbers 68/463, 8305/6970 is

LCM of Numerators i.e. for 68,8305 is 564740

GCF of denominators i.e. for 463,6970 is 1.

Thus, LCM of Fractions is 564740.Finally, LCM of Fractions for 68/463, 8305/6970 is 564740.