Least Common Multiple of 1595/519, 9235/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1595/519, 9235/135 quickly i.e. 2945965/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1595/519, 9235/135 is 2945965/3.

LCM(1595/519, 9235/135) = 2945965/3

LCM of 1595/519, 9235/135

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 1595/519,9235/135

Given numbers are 1595/519,9235/135

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 1595,9235

Least Common Multiple of Numerators i.e. LCM of 1595,9235 is 2945965.

GCF of Denominators means GCF of 519,135 as per the given fractions.

GCF of 519,135 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1595,9235

LCM of Fractions 1595/519,9235/135 is 2945965/3

5 1595, 9235
319, 1847

∴ So the LCM of the given numbers is 5 x 319 x 1847 = 2945965

Least Common Multiple of 1595,9235 with GCF Formula

Least Common Multiple of 1595,9235 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 1595,9235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1595,9235) = 5

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

GCF(1595,9235) x common factors =5 x 1 = 5

LCM(1595,9235) = ( 1595 × 9235 ) / 5

LCM(1595,9235) = 14729825 / 5

LCM(1595,9235) = 2945965


Lets's calculate GCF of 519,135

3 519, 135
173, 45

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2945965/3

Therefore the LCM of Fractions 1595/519,9235/135 is 2945965/3

Greatest Common Factor of 519,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,135 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 519,135 . The biggest common factor number is the GCF number.
So the greatest common factor 519,135 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1595/519, 9235/135

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 1595/519, 9235/135?

Answer: LCM of Numerators as per given numbers 1595/519, 9235/135 is

LCM of Numerators i.e. for 1595,9235 is 2945965

GCF of denominators i.e. for 519,135 is 3.

Thus, LCM of Fractions is 2945965/3.Finally, LCM of Fractions for 1595/519, 9235/135 is 2945965/3.