Least Common Multiple of 365/94, 834/91, 382/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 365/94, 834/91, 382/427 quickly i.e. 58142310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 365/94, 834/91, 382/427 is 58142310.

LCM(365/94, 834/91, 382/427) = 58142310

LCM of 365/94, 834/91, 382/427

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 365/94,834/91,382/427

Given numbers are 365/94,834/91,382/427

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 365,834,382

Least Common Multiple of Numerators i.e. LCM of 365,834,382 is 58142310.

GCF of Denominators means GCF of 94,91,427 as per the given fractions.

GCF of 94,91,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 365,834,382

LCM of Fractions 365/94,834/91,382/427 is 58142310

2 365, 834, 382
365, 417, 191

∴ So the LCM of the given numbers is 2 x 365 x 417 x 191 = 58142310

Least Common Multiple of 365,834,382 with GCF Formula

Least Common Multiple of 365,834,382 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 365,834,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,834,382) = 1

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

GCF(365,834,382) x common factors =1 x 2 = 2

LCM(365,834,382) = ( 365 × 834 × 382 ) / 2

LCM(365,834,382) = 116284620 / 2

LCM(365,834,382) = 58142310


Lets's calculate GCF of 94,91,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58142310/1

Therefore the LCM of Fractions 365/94,834/91,382/427 is 58142310

Greatest Common Factor of 94,91,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,91,427 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 94,91,427 . The biggest common factor number is the GCF number.
So the greatest common factor 94,91,427 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 365/94, 834/91, 382/427

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 365/94, 834/91, 382/427?

Answer: LCM of Numerators as per given numbers 365/94, 834/91, 382/427 is

LCM of Numerators i.e. for 365,834,382 is 58142310

GCF of denominators i.e. for 94,91,427 is 1.

Thus, LCM of Fractions is 58142310.Finally, LCM of Fractions for 365/94, 834/91, 382/427 is 58142310.