Least Common Multiple of 644/70, 926/3283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 644/70, 926/3283 quickly i.e. 42596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 644/70, 926/3283 is 42596.

LCM(644/70, 926/3283) = 42596

LCM of 644/70, 926/3283

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 644/70,926/3283

Given numbers are 644/70,926/3283

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 644,926

Least Common Multiple of Numerators i.e. LCM of 644,926 is 298172.

GCF of Denominators means GCF of 70,3283 as per the given fractions.

GCF of 70,3283 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 644,926

LCM of Fractions 644/70,926/3283 is 42596

2 644, 926
322, 463

∴ So the LCM of the given numbers is 2 x 322 x 463 = 298172

Least Common Multiple of 644,926 with GCF Formula

Least Common Multiple of 644,926 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 644,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,926) = 2

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

GCF(644,926) x common factors =2 x 1 = 2

LCM(644,926) = ( 644 × 926 ) / 2

LCM(644,926) = 596344 / 2

LCM(644,926) = 298172


Lets's calculate GCF of 70,3283

7 70, 3283
10, 469

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298172/7

Therefore the LCM of Fractions 644/70,926/3283 is 42596

Greatest Common Factor of 70,3283 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,3283 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 3283

List of positive integer factors of 3283 that divides 3283 without a remainder.

1,7,49,67,469,3283

Greatest Common Factor

We found the factors 70,3283 . The biggest common factor number is the GCF number.
So the greatest common factor 70,3283 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 644/70, 926/3283

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 644/70, 926/3283?

Answer: LCM of Numerators as per given numbers 644/70, 926/3283 is

LCM of Numerators i.e. for 644,926 is 298172

GCF of denominators i.e. for 70,3283 is 7.

Thus, LCM of Fractions is 42596.Finally, LCM of Fractions for 644/70, 926/3283 is 42596.