Least Common Multiple of 69/530, 18/473, 843/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/530, 18/473, 843/917 quickly i.e. 116334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/530, 18/473, 843/917 is 116334.

LCM(69/530, 18/473, 843/917) = 116334

LCM of 69/530, 18/473, 843/917

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 69/530,18/473,843/917

Given numbers are 69/530,18/473,843/917

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 69,18,843

Least Common Multiple of Numerators i.e. LCM of 69,18,843 is 116334.

GCF of Denominators means GCF of 530,473,917 as per the given fractions.

GCF of 530,473,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,18,843

LCM of Fractions 69/530,18/473,843/917 is 116334

3 69, 18, 843
23, 6, 281

∴ So the LCM of the given numbers is 3 x 23 x 6 x 281 = 116334

Least Common Multiple of 69,18,843 with GCF Formula

Least Common Multiple of 69,18,843 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 69,18,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,18,843) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(69,18,843) x common factors =3 x 3 = 9

LCM(69,18,843) = ( 69 × 18 × 843 ) / 9

LCM(69,18,843) = 1047006 / 9

LCM(69,18,843) = 116334


Lets's calculate GCF of 530,473,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116334/1

Therefore the LCM of Fractions 69/530,18/473,843/917 is 116334

Greatest Common Factor of 530,473,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,473,917 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 530,473,917 . The biggest common factor number is the GCF number.
So the greatest common factor 530,473,917 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 69/530, 18/473, 843/917

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 69/530, 18/473, 843/917?

Answer: LCM of Numerators as per given numbers 69/530, 18/473, 843/917 is

LCM of Numerators i.e. for 69,18,843 is 116334

GCF of denominators i.e. for 530,473,917 is 1.

Thus, LCM of Fractions is 116334.Finally, LCM of Fractions for 69/530, 18/473, 843/917 is 116334.