Least Common Multiple of 757/23, 314/34, 309/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 757/23, 314/34, 309/793 quickly i.e. 73448682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 757/23, 314/34, 309/793 is 73448682.

LCM(757/23, 314/34, 309/793) = 73448682

LCM of 757/23, 314/34, 309/793

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 757/23,314/34,309/793

Given numbers are 757/23,314/34,309/793

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 757,314,309

Least Common Multiple of Numerators i.e. LCM of 757,314,309 is 73448682.

GCF of Denominators means GCF of 23,34,793 as per the given fractions.

GCF of 23,34,793 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 757,314,309

LCM of Fractions 757/23,314/34,309/793 is 73448682

Given numbers has no common factors except 1. So, there LCM is their product i.e 73448682

Least Common Multiple of 757,314,309 with GCF Formula

Least Common Multiple of 757,314,309 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 757,314,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,314,309) = 1

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

GCF(757,314,309) x common factors =1 x 1 = 1

LCM(757,314,309) = ( 757 × 314 × 309 ) / 1

LCM(757,314,309) = 73448682 / 1

LCM(757,314,309) = 73448682


Lets's calculate GCF of 23,34,793

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73448682/1

Therefore the LCM of Fractions 757/23,314/34,309/793 is 73448682

Greatest Common Factor of 23,34,793 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,34,793 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors 23,34,793 . The biggest common factor number is the GCF number.
So the greatest common factor 23,34,793 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 757/23, 314/34, 309/793

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 757/23, 314/34, 309/793?

Answer: LCM of Numerators as per given numbers 757/23, 314/34, 309/793 is

LCM of Numerators i.e. for 757,314,309 is 73448682

GCF of denominators i.e. for 23,34,793 is 1.

Thus, LCM of Fractions is 73448682.Finally, LCM of Fractions for 757/23, 314/34, 309/793 is 73448682.