Least Common Multiple of 23/746, 87/869, 514/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/746, 87/869, 514/865 quickly i.e. 1028514 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/746, 87/869, 514/865 is 1028514.

LCM(23/746, 87/869, 514/865) = 1028514

LCM of 23/746, 87/869, 514/865

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 23/746,87/869,514/865

Given numbers are 23/746,87/869,514/865

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 23,87,514

Least Common Multiple of Numerators i.e. LCM of 23,87,514 is 1028514.

GCF of Denominators means GCF of 746,869,865 as per the given fractions.

GCF of 746,869,865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,87,514

LCM of Fractions 23/746,87/869,514/865 is 1028514

Given numbers has no common factors except 1. So, there LCM is their product i.e 1028514

Least Common Multiple of 23,87,514 with GCF Formula

Least Common Multiple of 23,87,514 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 23,87,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,87,514) = 1

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

GCF(23,87,514) x common factors =1 x 1 = 1

LCM(23,87,514) = ( 23 × 87 × 514 ) / 1

LCM(23,87,514) = 1028514 / 1

LCM(23,87,514) = 1028514


Lets's calculate GCF of 746,869,865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1028514/1

Therefore the LCM of Fractions 23/746,87/869,514/865 is 1028514

Greatest Common Factor of 746,869,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,869,865 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 746,869,865 . The biggest common factor number is the GCF number.
So the greatest common factor 746,869,865 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 23/746, 87/869, 514/865

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 23/746, 87/869, 514/865?

Answer: LCM of Numerators as per given numbers 23/746, 87/869, 514/865 is

LCM of Numerators i.e. for 23,87,514 is 1028514

GCF of denominators i.e. for 746,869,865 is 1.

Thus, LCM of Fractions is 1028514.Finally, LCM of Fractions for 23/746, 87/869, 514/865 is 1028514.