Least Common Multiple of 4830/858, 8346/2752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4830/858, 8346/2752 quickly i.e. 3359265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4830/858, 8346/2752 is 3359265.

LCM(4830/858, 8346/2752) = 3359265

LCM of 4830/858, 8346/2752

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 4830/858,8346/2752

Given numbers are 4830/858,8346/2752

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 4830,8346

Least Common Multiple of Numerators i.e. LCM of 4830,8346 is 6718530.

GCF of Denominators means GCF of 858,2752 as per the given fractions.

GCF of 858,2752 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4830,8346

LCM of Fractions 4830/858,8346/2752 is 3359265

2 4830, 8346
3 2415, 4173
805, 1391

∴ So the LCM of the given numbers is 2 x 3 x 805 x 1391 = 6718530

Least Common Multiple of 4830,8346 with GCF Formula

Least Common Multiple of 4830,8346 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 4830,8346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4830,8346) = 6

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

GCF(4830,8346) x common factors =6 x 1 = 6

LCM(4830,8346) = ( 4830 × 8346 ) / 6

LCM(4830,8346) = 40311180 / 6

LCM(4830,8346) = 6718530


Lets's calculate GCF of 858,2752

2 858, 2752
429, 1376

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6718530/2

Therefore the LCM of Fractions 4830/858,8346/2752 is 3359265

Greatest Common Factor of 858,2752 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,2752 By Matching Biggest Common Factor Method

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

Factors of 2752

List of positive integer factors of 2752 that divides 2752 without a remainder.

1,2,4,8,16,32,43,64,86,172,344,688,1376,2752

Greatest Common Factor

We found the factors 858,2752 . The biggest common factor number is the GCF number.
So the greatest common factor 858,2752 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4830/858, 8346/2752

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 4830/858, 8346/2752?

Answer: LCM of Numerators as per given numbers 4830/858, 8346/2752 is

LCM of Numerators i.e. for 4830,8346 is 6718530

GCF of denominators i.e. for 858,2752 is 2.

Thus, LCM of Fractions is 3359265.Finally, LCM of Fractions for 4830/858, 8346/2752 is 3359265.