Least Common Multiple of 41/445, 3972/7138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 41/445, 3972/7138 quickly i.e. 162852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/445, 3972/7138 is 162852.

LCM(41/445, 3972/7138) = 162852

LCM of 41/445, 3972/7138

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 41/445,3972/7138

Given numbers are 41/445,3972/7138

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 41,3972

Least Common Multiple of Numerators i.e. LCM of 41,3972 is 162852.

GCF of Denominators means GCF of 445,7138 as per the given fractions.

GCF of 445,7138 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,3972

LCM of Fractions 41/445,3972/7138 is 162852

Given numbers has no common factors except 1. So, there LCM is their product i.e 162852

Least Common Multiple of 41,3972 with GCF Formula

Least Common Multiple of 41,3972 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 41,3972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,3972) = 1

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

GCF(41,3972) x common factors =1 x 1 = 1

LCM(41,3972) = ( 41 × 3972 ) / 1

LCM(41,3972) = 162852 / 1

LCM(41,3972) = 162852


Lets's calculate GCF of 445,7138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162852/1

Therefore the LCM of Fractions 41/445,3972/7138 is 162852

Greatest Common Factor of 445,7138 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,7138 By Matching Biggest Common Factor Method

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 7138

List of positive integer factors of 7138 that divides 7138 without a remainder.

1,2,43,83,86,166,3569,7138

Greatest Common Factor

We found the factors 445,7138 . The biggest common factor number is the GCF number.
So the greatest common factor 445,7138 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 41/445, 3972/7138

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 41/445, 3972/7138?

Answer: LCM of Numerators as per given numbers 41/445, 3972/7138 is

LCM of Numerators i.e. for 41,3972 is 162852

GCF of denominators i.e. for 445,7138 is 1.

Thus, LCM of Fractions is 162852.Finally, LCM of Fractions for 41/445, 3972/7138 is 162852.