Least Common Multiple of 730/656, 923/960, 511/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/656, 923/960, 511/404 quickly i.e. 4716530/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/656, 923/960, 511/404 is 4716530/4.

LCM(730/656, 923/960, 511/404) = 4716530/4

LCM of 730/656, 923/960, 511/404

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 730/656,923/960,511/404

Given numbers are 730/656,923/960,511/404

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 730,923,511

Least Common Multiple of Numerators i.e. LCM of 730,923,511 is 4716530.

GCF of Denominators means GCF of 656,960,404 as per the given fractions.

GCF of 656,960,404 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,923,511

LCM of Fractions 730/656,923/960,511/404 is 4716530/4

73 730, 923, 511
10, 923, 7

∴ So the LCM of the given numbers is 73 x 10 x 923 x 7 = 4716530

Least Common Multiple of 730,923,511 with GCF Formula

Least Common Multiple of 730,923,511 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 730,923,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,923,511) = 1

common factors(in case of two or more numbers have common factors) = 73

GCF(730,923,511) x common factors =1 x 73 = 73

LCM(730,923,511) = ( 730 × 923 × 511 ) / 73

LCM(730,923,511) = 344306690 / 73

LCM(730,923,511) = 4716530


Lets's calculate GCF of 656,960,404

2 656, 960, 404
2 328, 480, 202
164, 240, 101

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4716530/4

Therefore the LCM of Fractions 730/656,923/960,511/404 is 4716530/4

Greatest Common Factor of 656,960,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,960,404 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 656,960,404 . The biggest common factor number is the GCF number.
So the greatest common factor 656,960,404 is 4.


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 730/656, 923/960, 511/404

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 730/656, 923/960, 511/404?

Answer: LCM of Numerators as per given numbers 730/656, 923/960, 511/404 is

LCM of Numerators i.e. for 730,923,511 is 4716530

GCF of denominators i.e. for 656,960,404 is 4.

Thus, LCM of Fractions is 4716530/4.Finally, LCM of Fractions for 730/656, 923/960, 511/404 is 4716530/4.