Least Common Multiple of 153/233, 4938/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 153/233, 4938/894 quickly i.e. 251838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 153/233, 4938/894 is 251838.

LCM(153/233, 4938/894) = 251838

LCM of 153/233, 4938/894

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 153/233,4938/894

Given numbers are 153/233,4938/894

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 153,4938

Least Common Multiple of Numerators i.e. LCM of 153,4938 is 251838.

GCF of Denominators means GCF of 233,894 as per the given fractions.

GCF of 233,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 153,4938

LCM of Fractions 153/233,4938/894 is 251838

3 153, 4938
51, 1646

∴ So the LCM of the given numbers is 3 x 51 x 1646 = 251838

Least Common Multiple of 153,4938 with GCF Formula

Least Common Multiple of 153,4938 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 153,4938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,4938) = 3

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

GCF(153,4938) x common factors =3 x 1 = 3

LCM(153,4938) = ( 153 × 4938 ) / 3

LCM(153,4938) = 755514 / 3

LCM(153,4938) = 251838


Lets's calculate GCF of 233,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251838/1

Therefore the LCM of Fractions 153/233,4938/894 is 251838

Greatest Common Factor of 233,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,894 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 233,894 . The biggest common factor number is the GCF number.
So the greatest common factor 233,894 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 153/233, 4938/894

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 153/233, 4938/894?

Answer: LCM of Numerators as per given numbers 153/233, 4938/894 is

LCM of Numerators i.e. for 153,4938 is 251838

GCF of denominators i.e. for 233,894 is 1.

Thus, LCM of Fractions is 251838.Finally, LCM of Fractions for 153/233, 4938/894 is 251838.