Least Common Multiple of 466/35, 744/70, 589/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/35, 744/70, 589/760 quickly i.e. 3293688/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/35, 744/70, 589/760 is 3293688/5.

LCM(466/35, 744/70, 589/760) = 3293688/5

LCM of 466/35, 744/70, 589/760

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 466/35,744/70,589/760

Given numbers are 466/35,744/70,589/760

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 466,744,589

Least Common Multiple of Numerators i.e. LCM of 466,744,589 is 3293688.

GCF of Denominators means GCF of 35,70,760 as per the given fractions.

GCF of 35,70,760 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,744,589

LCM of Fractions 466/35,744/70,589/760 is 3293688/5

2 466, 744, 589
31 233, 372, 589
233, 12, 19

∴ So the LCM of the given numbers is 2 x 31 x 233 x 12 x 19 = 3293688

Least Common Multiple of 466,744,589 with GCF Formula

Least Common Multiple of 466,744,589 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 466,744,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,744,589) = 1

common factors(in case of two or more numbers have common factors) = 62

GCF(466,744,589) x common factors =1 x 62 = 62

LCM(466,744,589) = ( 466 × 744 × 589 ) / 62

LCM(466,744,589) = 204208656 / 62

LCM(466,744,589) = 3293688


Lets's calculate GCF of 35,70,760

5 35, 70, 760
7, 14, 152

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3293688/5

Therefore the LCM of Fractions 466/35,744/70,589/760 is 3293688/5

Greatest Common Factor of 35,70,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,70,760 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 35,70,760 . The biggest common factor number is the GCF number.
So the greatest common factor 35,70,760 is 5.


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 466/35, 744/70, 589/760

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 466/35, 744/70, 589/760?

Answer: LCM of Numerators as per given numbers 466/35, 744/70, 589/760 is

LCM of Numerators i.e. for 466,744,589 is 3293688

GCF of denominators i.e. for 35,70,760 is 5.

Thus, LCM of Fractions is 3293688/5.Finally, LCM of Fractions for 466/35, 744/70, 589/760 is 3293688/5.