Least Common Multiple of 135/236, 8397/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 135/236, 8397/488 quickly i.e. 41985/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/236, 8397/488 is 41985/4.

LCM(135/236, 8397/488) = 41985/4

LCM of 135/236, 8397/488

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 135/236,8397/488

Given numbers are 135/236,8397/488

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 135,8397

Least Common Multiple of Numerators i.e. LCM of 135,8397 is 41985.

GCF of Denominators means GCF of 236,488 as per the given fractions.

GCF of 236,488 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,8397

LCM of Fractions 135/236,8397/488 is 41985/4

3 135, 8397
3 45, 2799
3 15, 933
5, 311

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 311 = 41985

Least Common Multiple of 135,8397 with GCF Formula

Least Common Multiple of 135,8397 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 135,8397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,8397) = 27

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

GCF(135,8397) x common factors =27 x 1 = 27

LCM(135,8397) = ( 135 × 8397 ) / 27

LCM(135,8397) = 1133595 / 27

LCM(135,8397) = 41985


Lets's calculate GCF of 236,488

2 236, 488
2 118, 244
59, 122

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41985/4

Therefore the LCM of Fractions 135/236,8397/488 is 41985/4

Greatest Common Factor of 236,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,488 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 236,488 . The biggest common factor number is the GCF number.
So the greatest common factor 236,488 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 135/236, 8397/488

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 135/236, 8397/488?

Answer: LCM of Numerators as per given numbers 135/236, 8397/488 is

LCM of Numerators i.e. for 135,8397 is 41985

GCF of denominators i.e. for 236,488 is 4.

Thus, LCM of Fractions is 41985/4.Finally, LCM of Fractions for 135/236, 8397/488 is 41985/4.