Least Common Multiple of 39/389, 670/658, 964/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/389, 670/658, 964/670 quickly i.e. 12594660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/389, 670/658, 964/670 is 12594660.

LCM(39/389, 670/658, 964/670) = 12594660

LCM of 39/389, 670/658, 964/670

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 39/389,670/658,964/670

Given numbers are 39/389,670/658,964/670

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 39,670,964

Least Common Multiple of Numerators i.e. LCM of 39,670,964 is 12594660.

GCF of Denominators means GCF of 389,658,670 as per the given fractions.

GCF of 389,658,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,670,964

LCM of Fractions 39/389,670/658,964/670 is 12594660

2 39, 670, 964
39, 335, 482

∴ So the LCM of the given numbers is 2 x 39 x 335 x 482 = 12594660

Least Common Multiple of 39,670,964 with GCF Formula

Least Common Multiple of 39,670,964 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 39,670,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,670,964) = 1

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

GCF(39,670,964) x common factors =1 x 2 = 2

LCM(39,670,964) = ( 39 × 670 × 964 ) / 2

LCM(39,670,964) = 25189320 / 2

LCM(39,670,964) = 12594660


Lets's calculate GCF of 389,658,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12594660/1

Therefore the LCM of Fractions 39/389,670/658,964/670 is 12594660

Greatest Common Factor of 389,658,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,658,670 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 389,658,670 . The biggest common factor number is the GCF number.
So the greatest common factor 389,658,670 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/389, 670/658, 964/670

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 39/389, 670/658, 964/670?

Answer: LCM of Numerators as per given numbers 39/389, 670/658, 964/670 is

LCM of Numerators i.e. for 39,670,964 is 12594660

GCF of denominators i.e. for 389,658,670 is 1.

Thus, LCM of Fractions is 12594660.Finally, LCM of Fractions for 39/389, 670/658, 964/670 is 12594660.