Least Common Multiple of 41/86, 44/12, 65/62, 64/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 41/86, 44/12, 65/62, 64/761 quickly i.e. 1876160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/86, 44/12, 65/62, 64/761 is 1876160.

LCM(41/86, 44/12, 65/62, 64/761) = 1876160

LCM of 41/86, 44/12, 65/62, 64/761

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 41/86,44/12,65/62,64/761

Given numbers are 41/86,44/12,65/62,64/761

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 41,44,65,64

Least Common Multiple of Numerators i.e. LCM of 41,44,65,64 is 1876160.

GCF of Denominators means GCF of 86,12,62,761 as per the given fractions.

GCF of 86,12,62,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,44,65,64

LCM of Fractions 41/86,44/12,65/62,64/761 is 1876160

2 41, 44, 65, 64
2 41, 22, 65, 32
41, 11, 65, 16

∴ So the LCM of the given numbers is 2 x 2 x 41 x 11 x 65 x 16 = 1876160

Least Common Multiple of 41,44,65,64 with GCF Formula

Least Common Multiple of 41,44,65,64 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 41,44,65,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,44,65,64) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(41,44,65,64) x common factors =1 x 4 = 4

LCM(41,44,65,64) = ( 41 × 44 × 65 × 64 ) / 4

LCM(41,44,65,64) = 7504640 / 4

LCM(41,44,65,64) = 1876160


Lets's calculate GCF of 86,12,62,761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1876160/1

Therefore the LCM of Fractions 41/86,44/12,65/62,64/761 is 1876160

Greatest Common Factor of 86,12,62,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,12,62,761 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 86,12,62,761 . The biggest common factor number is the GCF number.
So the greatest common factor 86,12,62,761 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 41/86, 44/12, 65/62, 64/761

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 41/86, 44/12, 65/62, 64/761?

Answer: LCM of Numerators as per given numbers 41/86, 44/12, 65/62, 64/761 is

LCM of Numerators i.e. for 41,44,65,64 is 1876160

GCF of denominators i.e. for 86,12,62,761 is 1.

Thus, LCM of Fractions is 1876160.Finally, LCM of Fractions for 41/86, 44/12, 65/62, 64/761 is 1876160.