Least Common Multiple of 870/579, 4833/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 870/579, 4833/140 quickly i.e. 1401570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/579, 4833/140 is 1401570.

LCM(870/579, 4833/140) = 1401570

LCM of 870/579, 4833/140

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 870/579,4833/140

Given numbers are 870/579,4833/140

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 870,4833

Least Common Multiple of Numerators i.e. LCM of 870,4833 is 1401570.

GCF of Denominators means GCF of 579,140 as per the given fractions.

GCF of 579,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,4833

LCM of Fractions 870/579,4833/140 is 1401570

3 870, 4833
290, 1611

∴ So the LCM of the given numbers is 3 x 290 x 1611 = 1401570

Least Common Multiple of 870,4833 with GCF Formula

Least Common Multiple of 870,4833 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 870,4833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,4833) = 3

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

GCF(870,4833) x common factors =3 x 1 = 3

LCM(870,4833) = ( 870 × 4833 ) / 3

LCM(870,4833) = 4204710 / 3

LCM(870,4833) = 1401570


Lets's calculate GCF of 579,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1401570/1

Therefore the LCM of Fractions 870/579,4833/140 is 1401570

Greatest Common Factor of 579,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,140 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 579,140 . The biggest common factor number is the GCF number.
So the greatest common factor 579,140 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 870/579, 4833/140

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 870/579, 4833/140?

Answer: LCM of Numerators as per given numbers 870/579, 4833/140 is

LCM of Numerators i.e. for 870,4833 is 1401570

GCF of denominators i.e. for 579,140 is 1.

Thus, LCM of Fractions is 1401570.Finally, LCM of Fractions for 870/579, 4833/140 is 1401570.