Least Common Multiple of 39/58, 135/43, 623/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/58, 135/43, 623/495 quickly i.e. 1093365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/58, 135/43, 623/495 is 1093365.

LCM(39/58, 135/43, 623/495) = 1093365

LCM of 39/58, 135/43, 623/495

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 39/58,135/43,623/495

Given numbers are 39/58,135/43,623/495

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 39,135,623

Least Common Multiple of Numerators i.e. LCM of 39,135,623 is 1093365.

GCF of Denominators means GCF of 58,43,495 as per the given fractions.

GCF of 58,43,495 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,135,623

LCM of Fractions 39/58,135/43,623/495 is 1093365

3 39, 135, 623
13, 45, 623

∴ So the LCM of the given numbers is 3 x 13 x 45 x 623 = 1093365

Least Common Multiple of 39,135,623 with GCF Formula

Least Common Multiple of 39,135,623 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 39,135,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,135,623) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,135,623) x common factors =1 x 3 = 3

LCM(39,135,623) = ( 39 × 135 × 623 ) / 3

LCM(39,135,623) = 3280095 / 3

LCM(39,135,623) = 1093365


Lets's calculate GCF of 58,43,495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1093365/1

Therefore the LCM of Fractions 39/58,135/43,623/495 is 1093365

Greatest Common Factor of 58,43,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,43,495 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 58,43,495 . The biggest common factor number is the GCF number.
So the greatest common factor 58,43,495 is 1.


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Frequently Asked Questions on Fractional LCM of 39/58, 135/43, 623/495

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 39/58, 135/43, 623/495?

Answer: LCM of Numerators as per given numbers 39/58, 135/43, 623/495 is

LCM of Numerators i.e. for 39,135,623 is 1093365

GCF of denominators i.e. for 58,43,495 is 1.

Thus, LCM of Fractions is 1093365.Finally, LCM of Fractions for 39/58, 135/43, 623/495 is 1093365.