Least Common Multiple of 536/664, 1132/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 536/664, 1132/201 quickly i.e. 151688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 536/664, 1132/201 is 151688.

LCM(536/664, 1132/201) = 151688

LCM of 536/664, 1132/201

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 536/664,1132/201

Given numbers are 536/664,1132/201

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 536,1132

Least Common Multiple of Numerators i.e. LCM of 536,1132 is 151688.

GCF of Denominators means GCF of 664,201 as per the given fractions.

GCF of 664,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 536,1132

LCM of Fractions 536/664,1132/201 is 151688

2 536, 1132
2 268, 566
134, 283

∴ So the LCM of the given numbers is 2 x 2 x 134 x 283 = 151688

Least Common Multiple of 536,1132 with GCF Formula

Least Common Multiple of 536,1132 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 536,1132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,1132) = 4

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

GCF(536,1132) x common factors =4 x 1 = 4

LCM(536,1132) = ( 536 × 1132 ) / 4

LCM(536,1132) = 606752 / 4

LCM(536,1132) = 151688


Lets's calculate GCF of 664,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151688/1

Therefore the LCM of Fractions 536/664,1132/201 is 151688

Greatest Common Factor of 664,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,201 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 664,201 . The biggest common factor number is the GCF number.
So the greatest common factor 664,201 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 536/664, 1132/201

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 536/664, 1132/201?

Answer: LCM of Numerators as per given numbers 536/664, 1132/201 is

LCM of Numerators i.e. for 536,1132 is 151688

GCF of denominators i.e. for 664,201 is 1.

Thus, LCM of Fractions is 151688.Finally, LCM of Fractions for 536/664, 1132/201 is 151688.