Least Common Multiple of 589/896, 4720/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/896, 4720/858 quickly i.e. 1390040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/896, 4720/858 is 1390040.

LCM(589/896, 4720/858) = 1390040

LCM of 589/896, 4720/858

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 589/896,4720/858

Given numbers are 589/896,4720/858

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 589,4720

Least Common Multiple of Numerators i.e. LCM of 589,4720 is 2780080.

GCF of Denominators means GCF of 896,858 as per the given fractions.

GCF of 896,858 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,4720

LCM of Fractions 589/896,4720/858 is 1390040

Given numbers has no common factors except 1. So, there LCM is their product i.e 2780080

Least Common Multiple of 589,4720 with GCF Formula

Least Common Multiple of 589,4720 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 589,4720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,4720) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(589,4720) x common factors =1 x 1 = 1

LCM(589,4720) = ( 589 × 4720 ) / 1

LCM(589,4720) = 2780080 / 1

LCM(589,4720) = 2780080


Lets's calculate GCF of 896,858

2 896, 858
448, 429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2780080/2

Therefore the LCM of Fractions 589/896,4720/858 is 1390040

Greatest Common Factor of 896,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,858 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 896,858 . The biggest common factor number is the GCF number.
So the greatest common factor 896,858 is 2.


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 589/896, 4720/858

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 589/896, 4720/858?

Answer: LCM of Numerators as per given numbers 589/896, 4720/858 is

LCM of Numerators i.e. for 589,4720 is 2780080

GCF of denominators i.e. for 896,858 is 2.

Thus, LCM of Fractions is 1390040.Finally, LCM of Fractions for 589/896, 4720/858 is 1390040.