Least Common Multiple of 87/29, 385/27, 295/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/29, 385/27, 295/134 quickly i.e. 1976205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/29, 385/27, 295/134 is 1976205.

LCM(87/29, 385/27, 295/134) = 1976205

LCM of 87/29, 385/27, 295/134

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 87/29,385/27,295/134

Given numbers are 87/29,385/27,295/134

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 87,385,295

Least Common Multiple of Numerators i.e. LCM of 87,385,295 is 1976205.

GCF of Denominators means GCF of 29,27,134 as per the given fractions.

GCF of 29,27,134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,385,295

LCM of Fractions 87/29,385/27,295/134 is 1976205

5 87, 385, 295
87, 77, 59

∴ So the LCM of the given numbers is 5 x 87 x 77 x 59 = 1976205

Least Common Multiple of 87,385,295 with GCF Formula

Least Common Multiple of 87,385,295 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 87,385,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,385,295) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(87,385,295) x common factors =1 x 5 = 5

LCM(87,385,295) = ( 87 × 385 × 295 ) / 5

LCM(87,385,295) = 9881025 / 5

LCM(87,385,295) = 1976205


Lets's calculate GCF of 29,27,134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1976205/1

Therefore the LCM of Fractions 87/29,385/27,295/134 is 1976205

Greatest Common Factor of 29,27,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,27,134 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 29,27,134 . The biggest common factor number is the GCF number.
So the greatest common factor 29,27,134 is 1.


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Frequently Asked Questions on Fractional LCM of 87/29, 385/27, 295/134

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 87/29, 385/27, 295/134?

Answer: LCM of Numerators as per given numbers 87/29, 385/27, 295/134 is

LCM of Numerators i.e. for 87,385,295 is 1976205

GCF of denominators i.e. for 29,27,134 is 1.

Thus, LCM of Fractions is 1976205.Finally, LCM of Fractions for 87/29, 385/27, 295/134 is 1976205.