Least Common Multiple of 3727/736, 1132/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3727/736, 1132/299 quickly i.e. 4218964/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3727/736, 1132/299 is 4218964/23.

LCM(3727/736, 1132/299) = 4218964/23

LCM of 3727/736, 1132/299

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 3727/736,1132/299

Given numbers are 3727/736,1132/299

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 3727,1132

Least Common Multiple of Numerators i.e. LCM of 3727,1132 is 4218964.

GCF of Denominators means GCF of 736,299 as per the given fractions.

GCF of 736,299 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3727,1132

LCM of Fractions 3727/736,1132/299 is 4218964/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 4218964

Least Common Multiple of 3727,1132 with GCF Formula

Least Common Multiple of 3727,1132 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 3727,1132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3727,1132) = 1

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

GCF(3727,1132) x common factors =1 x 1 = 1

LCM(3727,1132) = ( 3727 × 1132 ) / 1

LCM(3727,1132) = 4218964 / 1

LCM(3727,1132) = 4218964


Lets's calculate GCF of 736,299

23 736, 299
32, 13

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4218964/23

Therefore the LCM of Fractions 3727/736,1132/299 is 4218964/23

Greatest Common Factor of 736,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,299 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 736,299 . The biggest common factor number is the GCF number.
So the greatest common factor 736,299 is 23.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3727/736, 1132/299

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 3727/736, 1132/299?

Answer: LCM of Numerators as per given numbers 3727/736, 1132/299 is

LCM of Numerators i.e. for 3727,1132 is 4218964

GCF of denominators i.e. for 736,299 is 23.

Thus, LCM of Fractions is 4218964/23.Finally, LCM of Fractions for 3727/736, 1132/299 is 4218964/23.