Least Common Multiple of 9570/889, 6004/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9570/889, 6004/489 quickly i.e. 28729140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9570/889, 6004/489 is 28729140.

LCM(9570/889, 6004/489) = 28729140

LCM of 9570/889, 6004/489

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 9570/889,6004/489

Given numbers are 9570/889,6004/489

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 9570,6004

Least Common Multiple of Numerators i.e. LCM of 9570,6004 is 28729140.

GCF of Denominators means GCF of 889,489 as per the given fractions.

GCF of 889,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9570,6004

LCM of Fractions 9570/889,6004/489 is 28729140

2 9570, 6004
4785, 3002

∴ So the LCM of the given numbers is 2 x 4785 x 3002 = 28729140

Least Common Multiple of 9570,6004 with GCF Formula

Least Common Multiple of 9570,6004 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 9570,6004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9570,6004) = 2

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

GCF(9570,6004) x common factors =2 x 1 = 2

LCM(9570,6004) = ( 9570 × 6004 ) / 2

LCM(9570,6004) = 57458280 / 2

LCM(9570,6004) = 28729140


Lets's calculate GCF of 889,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28729140/1

Therefore the LCM of Fractions 9570/889,6004/489 is 28729140

Greatest Common Factor of 889,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,489 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 889,489 . The biggest common factor number is the GCF number.
So the greatest common factor 889,489 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 9570/889, 6004/489

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 9570/889, 6004/489?

Answer: LCM of Numerators as per given numbers 9570/889, 6004/489 is

LCM of Numerators i.e. for 9570,6004 is 28729140

GCF of denominators i.e. for 889,489 is 1.

Thus, LCM of Fractions is 28729140.Finally, LCM of Fractions for 9570/889, 6004/489 is 28729140.