Least Common Multiple of 705/24, 690/65, 448/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/24, 690/65, 448/913 quickly i.e. 7264320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/24, 690/65, 448/913 is 7264320.

LCM(705/24, 690/65, 448/913) = 7264320

LCM of 705/24, 690/65, 448/913

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 705/24,690/65,448/913

Given numbers are 705/24,690/65,448/913

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 705,690,448

Least Common Multiple of Numerators i.e. LCM of 705,690,448 is 7264320.

GCF of Denominators means GCF of 24,65,913 as per the given fractions.

GCF of 24,65,913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,690,448

LCM of Fractions 705/24,690/65,448/913 is 7264320

2 705, 690, 448
3 705, 345, 224
5 235, 115, 224
47, 23, 224

∴ So the LCM of the given numbers is 2 x 3 x 5 x 47 x 23 x 224 = 7264320

Least Common Multiple of 705,690,448 with GCF Formula

Least Common Multiple of 705,690,448 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 705,690,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,690,448) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(705,690,448) x common factors =1 x 30 = 30

LCM(705,690,448) = ( 705 × 690 × 448 ) / 30

LCM(705,690,448) = 217929600 / 30

LCM(705,690,448) = 7264320


Lets's calculate GCF of 24,65,913

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7264320/1

Therefore the LCM of Fractions 705/24,690/65,448/913 is 7264320

Greatest Common Factor of 24,65,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,65,913 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 913

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

1,11,83,913

Greatest Common Factor

We found the factors 24,65,913 . The biggest common factor number is the GCF number.
So the greatest common factor 24,65,913 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 705/24, 690/65, 448/913

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 705/24, 690/65, 448/913?

Answer: LCM of Numerators as per given numbers 705/24, 690/65, 448/913 is

LCM of Numerators i.e. for 705,690,448 is 7264320

GCF of denominators i.e. for 24,65,913 is 1.

Thus, LCM of Fractions is 7264320.Finally, LCM of Fractions for 705/24, 690/65, 448/913 is 7264320.