Least Common Multiple of 252/95, 405/3354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 252/95, 405/3354 quickly i.e. 11340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/95, 405/3354 is 11340.

LCM(252/95, 405/3354) = 11340

LCM of 252/95, 405/3354

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 252/95,405/3354

Given numbers are 252/95,405/3354

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 252,405

Least Common Multiple of Numerators i.e. LCM of 252,405 is 11340.

GCF of Denominators means GCF of 95,3354 as per the given fractions.

GCF of 95,3354 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,405

LCM of Fractions 252/95,405/3354 is 11340

3 252, 405
3 84, 135
28, 45

∴ So the LCM of the given numbers is 3 x 3 x 28 x 45 = 11340

Least Common Multiple of 252,405 with GCF Formula

Least Common Multiple of 252,405 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 252,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,405) = 9

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

GCF(252,405) x common factors =9 x 1 = 9

LCM(252,405) = ( 252 × 405 ) / 9

LCM(252,405) = 102060 / 9

LCM(252,405) = 11340


Lets's calculate GCF of 95,3354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11340/1

Therefore the LCM of Fractions 252/95,405/3354 is 11340

Greatest Common Factor of 95,3354 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,3354 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 3354

List of positive integer factors of 3354 that divides 3354 without a remainder.

1,2,3,6,13,26,39,43,78,86,129,258,559,1118,1677,3354

Greatest Common Factor

We found the factors 95,3354 . The biggest common factor number is the GCF number.
So the greatest common factor 95,3354 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 252/95, 405/3354

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 252/95, 405/3354?

Answer: LCM of Numerators as per given numbers 252/95, 405/3354 is

LCM of Numerators i.e. for 252,405 is 11340

GCF of denominators i.e. for 95,3354 is 1.

Thus, LCM of Fractions is 11340.Finally, LCM of Fractions for 252/95, 405/3354 is 11340.