Least Common Multiple of 641/846, 5321/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 641/846, 5321/614 quickly i.e. 3410761/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 641/846, 5321/614 is 3410761/2.

LCM(641/846, 5321/614) = 3410761/2

LCM of 641/846, 5321/614

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 641/846,5321/614

Given numbers are 641/846,5321/614

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 641,5321

Least Common Multiple of Numerators i.e. LCM of 641,5321 is 3410761.

GCF of Denominators means GCF of 846,614 as per the given fractions.

GCF of 846,614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 641,5321

LCM of Fractions 641/846,5321/614 is 3410761/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3410761

Least Common Multiple of 641,5321 with GCF Formula

Least Common Multiple of 641,5321 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 641,5321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,5321) = 1

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

GCF(641,5321) x common factors =1 x 1 = 1

LCM(641,5321) = ( 641 × 5321 ) / 1

LCM(641,5321) = 3410761 / 1

LCM(641,5321) = 3410761


Lets's calculate GCF of 846,614

2 846, 614
423, 307

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3410761/2

Therefore the LCM of Fractions 641/846,5321/614 is 3410761/2

Greatest Common Factor of 846,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,614 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 846,614 . The biggest common factor number is the GCF number.
So the greatest common factor 846,614 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 641/846, 5321/614

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 641/846, 5321/614?

Answer: LCM of Numerators as per given numbers 641/846, 5321/614 is

LCM of Numerators i.e. for 641,5321 is 3410761

GCF of denominators i.e. for 846,614 is 2.

Thus, LCM of Fractions is 3410761/2.Finally, LCM of Fractions for 641/846, 5321/614 is 3410761/2.