Least Common Multiple of 500/689, 424/224, 464/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/689, 424/224, 464/839 quickly i.e. 3074000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/689, 424/224, 464/839 is 3074000.

LCM(500/689, 424/224, 464/839) = 3074000

LCM of 500/689, 424/224, 464/839

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 500/689,424/224,464/839

Given numbers are 500/689,424/224,464/839

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 500,424,464

Least Common Multiple of Numerators i.e. LCM of 500,424,464 is 3074000.

GCF of Denominators means GCF of 689,224,839 as per the given fractions.

GCF of 689,224,839 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,424,464

LCM of Fractions 500/689,424/224,464/839 is 3074000

2 500, 424, 464
2 250, 212, 232
2 125, 106, 116
125, 53, 58

∴ So the LCM of the given numbers is 2 x 2 x 2 x 125 x 53 x 58 = 3074000

Least Common Multiple of 500,424,464 with GCF Formula

Least Common Multiple of 500,424,464 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 500,424,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,424,464) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(500,424,464) x common factors =4 x 8 = 32

LCM(500,424,464) = ( 500 × 424 × 464 ) / 32

LCM(500,424,464) = 98368000 / 32

LCM(500,424,464) = 3074000


Lets's calculate GCF of 689,224,839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3074000/1

Therefore the LCM of Fractions 500/689,424/224,464/839 is 3074000

Greatest Common Factor of 689,224,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,224,839 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 689,224,839 . The biggest common factor number is the GCF number.
So the greatest common factor 689,224,839 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 500/689, 424/224, 464/839

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 500/689, 424/224, 464/839?

Answer: LCM of Numerators as per given numbers 500/689, 424/224, 464/839 is

LCM of Numerators i.e. for 500,424,464 is 3074000

GCF of denominators i.e. for 689,224,839 is 1.

Thus, LCM of Fractions is 3074000.Finally, LCM of Fractions for 500/689, 424/224, 464/839 is 3074000.