Least Common Multiple of 34/314, 869/309, 791/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/314, 869/309, 791/716 quickly i.e. 23370886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/314, 869/309, 791/716 is 23370886.

LCM(34/314, 869/309, 791/716) = 23370886

LCM of 34/314, 869/309, 791/716

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 34/314,869/309,791/716

Given numbers are 34/314,869/309,791/716

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 34,869,791

Least Common Multiple of Numerators i.e. LCM of 34,869,791 is 23370886.

GCF of Denominators means GCF of 314,309,716 as per the given fractions.

GCF of 314,309,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,869,791

LCM of Fractions 34/314,869/309,791/716 is 23370886

Given numbers has no common factors except 1. So, there LCM is their product i.e 23370886

Least Common Multiple of 34,869,791 with GCF Formula

Least Common Multiple of 34,869,791 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 34,869,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,869,791) = 1

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

GCF(34,869,791) x common factors =1 x 1 = 1

LCM(34,869,791) = ( 34 × 869 × 791 ) / 1

LCM(34,869,791) = 23370886 / 1

LCM(34,869,791) = 23370886


Lets's calculate GCF of 314,309,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23370886/1

Therefore the LCM of Fractions 34/314,869/309,791/716 is 23370886

Greatest Common Factor of 314,309,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,309,716 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 314,309,716 . The biggest common factor number is the GCF number.
So the greatest common factor 314,309,716 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 34/314, 869/309, 791/716

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 34/314, 869/309, 791/716?

Answer: LCM of Numerators as per given numbers 34/314, 869/309, 791/716 is

LCM of Numerators i.e. for 34,869,791 is 23370886

GCF of denominators i.e. for 314,309,716 is 1.

Thus, LCM of Fractions is 23370886.Finally, LCM of Fractions for 34/314, 869/309, 791/716 is 23370886.