Least Common Multiple of 669/24, 680/22, 950/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 669/24, 680/22, 950/592 quickly i.e. 21608700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 669/24, 680/22, 950/592 is 21608700.

LCM(669/24, 680/22, 950/592) = 21608700

LCM of 669/24, 680/22, 950/592

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 669/24,680/22,950/592

Given numbers are 669/24,680/22,950/592

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 669,680,950

Least Common Multiple of Numerators i.e. LCM of 669,680,950 is 43217400.

GCF of Denominators means GCF of 24,22,592 as per the given fractions.

GCF of 24,22,592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 669,680,950

LCM of Fractions 669/24,680/22,950/592 is 21608700

2 669, 680, 950
5 669, 340, 475
669, 68, 95

∴ So the LCM of the given numbers is 2 x 5 x 669 x 68 x 95 = 43217400

Least Common Multiple of 669,680,950 with GCF Formula

Least Common Multiple of 669,680,950 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 669,680,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,680,950) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(669,680,950) x common factors =1 x 10 = 10

LCM(669,680,950) = ( 669 × 680 × 950 ) / 10

LCM(669,680,950) = 432174000 / 10

LCM(669,680,950) = 43217400


Lets's calculate GCF of 24,22,592

2 24, 22, 592
12, 11, 296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43217400/2

Therefore the LCM of Fractions 669/24,680/22,950/592 is 21608700

Greatest Common Factor of 24,22,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,22,592 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 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 24,22,592 . The biggest common factor number is the GCF number.
So the greatest common factor 24,22,592 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 669/24, 680/22, 950/592

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 669/24, 680/22, 950/592?

Answer: LCM of Numerators as per given numbers 669/24, 680/22, 950/592 is

LCM of Numerators i.e. for 669,680,950 is 43217400

GCF of denominators i.e. for 24,22,592 is 2.

Thus, LCM of Fractions is 21608700.Finally, LCM of Fractions for 669/24, 680/22, 950/592 is 21608700.