Least Common Multiple of 4764/146, 2730/6395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4764/146, 2730/6395 quickly i.e. 2167620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4764/146, 2730/6395 is 2167620.

LCM(4764/146, 2730/6395) = 2167620

LCM of 4764/146, 2730/6395

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 4764/146,2730/6395

Given numbers are 4764/146,2730/6395

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 4764,2730

Least Common Multiple of Numerators i.e. LCM of 4764,2730 is 2167620.

GCF of Denominators means GCF of 146,6395 as per the given fractions.

GCF of 146,6395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4764,2730

LCM of Fractions 4764/146,2730/6395 is 2167620

2 4764, 2730
3 2382, 1365
794, 455

∴ So the LCM of the given numbers is 2 x 3 x 794 x 455 = 2167620

Least Common Multiple of 4764,2730 with GCF Formula

Least Common Multiple of 4764,2730 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 4764,2730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4764,2730) = 6

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

GCF(4764,2730) x common factors =6 x 1 = 6

LCM(4764,2730) = ( 4764 × 2730 ) / 6

LCM(4764,2730) = 13005720 / 6

LCM(4764,2730) = 2167620


Lets's calculate GCF of 146,6395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2167620/1

Therefore the LCM of Fractions 4764/146,2730/6395 is 2167620

Greatest Common Factor of 146,6395 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,6395 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 6395

List of positive integer factors of 6395 that divides 6395 without a remainder.

1,5,1279,6395

Greatest Common Factor

We found the factors 146,6395 . The biggest common factor number is the GCF number.
So the greatest common factor 146,6395 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4764/146, 2730/6395

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 4764/146, 2730/6395?

Answer: LCM of Numerators as per given numbers 4764/146, 2730/6395 is

LCM of Numerators i.e. for 4764,2730 is 2167620

GCF of denominators i.e. for 146,6395 is 1.

Thus, LCM of Fractions is 2167620.Finally, LCM of Fractions for 4764/146, 2730/6395 is 2167620.