Least Common Multiple of 335/87, 123/9419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 335/87, 123/9419 quickly i.e. 41205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 335/87, 123/9419 is 41205.

LCM(335/87, 123/9419) = 41205

LCM of 335/87, 123/9419

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 335/87,123/9419

Given numbers are 335/87,123/9419

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 335,123

Least Common Multiple of Numerators i.e. LCM of 335,123 is 41205.

GCF of Denominators means GCF of 87,9419 as per the given fractions.

GCF of 87,9419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 335,123

LCM of Fractions 335/87,123/9419 is 41205

Given numbers has no common factors except 1. So, there LCM is their product i.e 41205

Least Common Multiple of 335,123 with GCF Formula

Least Common Multiple of 335,123 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 335,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,123) = 1

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

GCF(335,123) x common factors =1 x 1 = 1

LCM(335,123) = ( 335 × 123 ) / 1

LCM(335,123) = 41205 / 1

LCM(335,123) = 41205


Lets's calculate GCF of 87,9419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41205/1

Therefore the LCM of Fractions 335/87,123/9419 is 41205

Greatest Common Factor of 87,9419 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,9419 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 9419

List of positive integer factors of 9419 that divides 9419 without a remainder.

1,9419

Greatest Common Factor

We found the factors 87,9419 . The biggest common factor number is the GCF number.
So the greatest common factor 87,9419 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 335/87, 123/9419

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 335/87, 123/9419?

Answer: LCM of Numerators as per given numbers 335/87, 123/9419 is

LCM of Numerators i.e. for 335,123 is 41205

GCF of denominators i.e. for 87,9419 is 1.

Thus, LCM of Fractions is 41205.Finally, LCM of Fractions for 335/87, 123/9419 is 41205.