Least Common Multiple of 41/77, 262/41, 116/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 41/77, 262/41, 116/365 quickly i.e. 623036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/77, 262/41, 116/365 is 623036.

LCM(41/77, 262/41, 116/365) = 623036

LCM of 41/77, 262/41, 116/365

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 41/77,262/41,116/365

Given numbers are 41/77,262/41,116/365

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 41,262,116

Least Common Multiple of Numerators i.e. LCM of 41,262,116 is 623036.

GCF of Denominators means GCF of 77,41,365 as per the given fractions.

GCF of 77,41,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,262,116

LCM of Fractions 41/77,262/41,116/365 is 623036

2 41, 262, 116
41, 131, 58

∴ So the LCM of the given numbers is 2 x 41 x 131 x 58 = 623036

Least Common Multiple of 41,262,116 with GCF Formula

Least Common Multiple of 41,262,116 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 41,262,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,262,116) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(41,262,116) x common factors =1 x 2 = 2

LCM(41,262,116) = ( 41 × 262 × 116 ) / 2

LCM(41,262,116) = 1246072 / 2

LCM(41,262,116) = 623036


Lets's calculate GCF of 77,41,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 623036/1

Therefore the LCM of Fractions 41/77,262/41,116/365 is 623036

Greatest Common Factor of 77,41,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,41,365 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 77,41,365 . The biggest common factor number is the GCF number.
So the greatest common factor 77,41,365 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 41/77, 262/41, 116/365

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 41/77, 262/41, 116/365?

Answer: LCM of Numerators as per given numbers 41/77, 262/41, 116/365 is

LCM of Numerators i.e. for 41,262,116 is 623036

GCF of denominators i.e. for 77,41,365 is 1.

Thus, LCM of Fractions is 623036.Finally, LCM of Fractions for 41/77, 262/41, 116/365 is 623036.