Least Common Multiple of 847/532, 273/125, 909/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 847/532, 273/125, 909/465 quickly i.e. 10008999 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 847/532, 273/125, 909/465 is 10008999.

LCM(847/532, 273/125, 909/465) = 10008999

LCM of 847/532, 273/125, 909/465

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 847/532,273/125,909/465

Given numbers are 847/532,273/125,909/465

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 847,273,909

Least Common Multiple of Numerators i.e. LCM of 847,273,909 is 10008999.

GCF of Denominators means GCF of 532,125,465 as per the given fractions.

GCF of 532,125,465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 847,273,909

LCM of Fractions 847/532,273/125,909/465 is 10008999

3 847, 273, 909
7 847, 91, 303
121, 13, 303

∴ So the LCM of the given numbers is 3 x 7 x 121 x 13 x 303 = 10008999

Least Common Multiple of 847,273,909 with GCF Formula

Least Common Multiple of 847,273,909 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 847,273,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,273,909) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(847,273,909) x common factors =1 x 21 = 21

LCM(847,273,909) = ( 847 × 273 × 909 ) / 21

LCM(847,273,909) = 210188979 / 21

LCM(847,273,909) = 10008999


Lets's calculate GCF of 532,125,465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10008999/1

Therefore the LCM of Fractions 847/532,273/125,909/465 is 10008999

Greatest Common Factor of 532,125,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,125,465 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 532,125,465 . The biggest common factor number is the GCF number.
So the greatest common factor 532,125,465 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 847/532, 273/125, 909/465

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 847/532, 273/125, 909/465?

Answer: LCM of Numerators as per given numbers 847/532, 273/125, 909/465 is

LCM of Numerators i.e. for 847,273,909 is 10008999

GCF of denominators i.e. for 532,125,465 is 1.

Thus, LCM of Fractions is 10008999.Finally, LCM of Fractions for 847/532, 273/125, 909/465 is 10008999.