Least Common Multiple of 495/727, 182/129, 587/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 495/727, 182/129, 587/852 quickly i.e. 52882830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/727, 182/129, 587/852 is 52882830.

LCM(495/727, 182/129, 587/852) = 52882830

LCM of 495/727, 182/129, 587/852

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 495/727,182/129,587/852

Given numbers are 495/727,182/129,587/852

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 495,182,587

Least Common Multiple of Numerators i.e. LCM of 495,182,587 is 52882830.

GCF of Denominators means GCF of 727,129,852 as per the given fractions.

GCF of 727,129,852 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,182,587

LCM of Fractions 495/727,182/129,587/852 is 52882830

Given numbers has no common factors except 1. So, there LCM is their product i.e 52882830

Least Common Multiple of 495,182,587 with GCF Formula

Least Common Multiple of 495,182,587 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 495,182,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,182,587) = 1

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

GCF(495,182,587) x common factors =1 x 1 = 1

LCM(495,182,587) = ( 495 × 182 × 587 ) / 1

LCM(495,182,587) = 52882830 / 1

LCM(495,182,587) = 52882830


Lets's calculate GCF of 727,129,852

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52882830/1

Therefore the LCM of Fractions 495/727,182/129,587/852 is 52882830

Greatest Common Factor of 727,129,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,129,852 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 727,129,852 . The biggest common factor number is the GCF number.
So the greatest common factor 727,129,852 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 495/727, 182/129, 587/852

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 495/727, 182/129, 587/852?

Answer: LCM of Numerators as per given numbers 495/727, 182/129, 587/852 is

LCM of Numerators i.e. for 495,182,587 is 52882830

GCF of denominators i.e. for 727,129,852 is 1.

Thus, LCM of Fractions is 52882830.Finally, LCM of Fractions for 495/727, 182/129, 587/852 is 52882830.