Least Common Multiple of 941/85, 49/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 941/85, 49/82 quickly i.e. 46109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 941/85, 49/82 is 46109.

LCM(941/85, 49/82) = 46109

LCM of 941/85, 49/82

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 941/85,49/82

Given numbers are 941/85,49/82

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 941,49

Least Common Multiple of Numerators i.e. LCM of 941,49 is 46109.

GCF of Denominators means GCF of 85,82 as per the given fractions.

GCF of 85,82 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 941,49

LCM of Fractions 941/85,49/82 is 46109

Given numbers has no common factors except 1. So, there LCM is their product i.e 46109

Least Common Multiple of 941,49 with GCF Formula

Least Common Multiple of 941,49 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 941,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(941,49) = 1

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

GCF(941,49) x common factors =1 x 1 = 1

LCM(941,49) = ( 941 × 49 ) / 1

LCM(941,49) = 46109 / 1

LCM(941,49) = 46109


Lets's calculate GCF of 85,82

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46109/1

Therefore the LCM of Fractions 941/85,49/82 is 46109

Greatest Common Factor of 85,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,82 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 85,82 . The biggest common factor number is the GCF number.
So the greatest common factor 85,82 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 941/85, 49/82

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 941/85, 49/82?

Answer: LCM of Numerators as per given numbers 941/85, 49/82 is

LCM of Numerators i.e. for 941,49 is 46109

GCF of denominators i.e. for 85,82 is 1.

Thus, LCM of Fractions is 46109.Finally, LCM of Fractions for 941/85, 49/82 is 46109.