Least Common Multiple of 69/217, 96/913, 884/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/217, 96/913, 884/560 quickly i.e. 487968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/217, 96/913, 884/560 is 487968.

LCM(69/217, 96/913, 884/560) = 487968

LCM of 69/217, 96/913, 884/560

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 69/217,96/913,884/560

Given numbers are 69/217,96/913,884/560

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 69,96,884

Least Common Multiple of Numerators i.e. LCM of 69,96,884 is 487968.

GCF of Denominators means GCF of 217,913,560 as per the given fractions.

GCF of 217,913,560 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,96,884

LCM of Fractions 69/217,96/913,884/560 is 487968

2 69, 96, 884
2 69, 48, 442
3 69, 24, 221
23, 8, 221

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 8 x 221 = 487968

Least Common Multiple of 69,96,884 with GCF Formula

Least Common Multiple of 69,96,884 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 69,96,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,96,884) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(69,96,884) x common factors =1 x 12 = 12

LCM(69,96,884) = ( 69 × 96 × 884 ) / 12

LCM(69,96,884) = 5855616 / 12

LCM(69,96,884) = 487968


Lets's calculate GCF of 217,913,560

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487968/1

Therefore the LCM of Fractions 69/217,96/913,884/560 is 487968

Greatest Common Factor of 217,913,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,913,560 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 217,913,560 . The biggest common factor number is the GCF number.
So the greatest common factor 217,913,560 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 69/217, 96/913, 884/560

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 69/217, 96/913, 884/560?

Answer: LCM of Numerators as per given numbers 69/217, 96/913, 884/560 is

LCM of Numerators i.e. for 69,96,884 is 487968

GCF of denominators i.e. for 217,913,560 is 1.

Thus, LCM of Fractions is 487968.Finally, LCM of Fractions for 69/217, 96/913, 884/560 is 487968.