Least Common Multiple of 23/740, 794/914, 893/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/740, 794/914, 893/275 quickly i.e. 16307966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/740, 794/914, 893/275 is 16307966.

LCM(23/740, 794/914, 893/275) = 16307966

LCM of 23/740, 794/914, 893/275

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 23/740,794/914,893/275

Given numbers are 23/740,794/914,893/275

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 23,794,893

Least Common Multiple of Numerators i.e. LCM of 23,794,893 is 16307966.

GCF of Denominators means GCF of 740,914,275 as per the given fractions.

GCF of 740,914,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,794,893

LCM of Fractions 23/740,794/914,893/275 is 16307966

Given numbers has no common factors except 1. So, there LCM is their product i.e 16307966

Least Common Multiple of 23,794,893 with GCF Formula

Least Common Multiple of 23,794,893 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 23,794,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,794,893) = 1

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

GCF(23,794,893) x common factors =1 x 1 = 1

LCM(23,794,893) = ( 23 × 794 × 893 ) / 1

LCM(23,794,893) = 16307966 / 1

LCM(23,794,893) = 16307966


Lets's calculate GCF of 740,914,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16307966/1

Therefore the LCM of Fractions 23/740,794/914,893/275 is 16307966

Greatest Common Factor of 740,914,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,914,275 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 740,914,275 . The biggest common factor number is the GCF number.
So the greatest common factor 740,914,275 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 23/740, 794/914, 893/275

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 23/740, 794/914, 893/275?

Answer: LCM of Numerators as per given numbers 23/740, 794/914, 893/275 is

LCM of Numerators i.e. for 23,794,893 is 16307966

GCF of denominators i.e. for 740,914,275 is 1.

Thus, LCM of Fractions is 16307966.Finally, LCM of Fractions for 23/740, 794/914, 893/275 is 16307966.