Least Common Multiple of 931/14, 394/51, 545/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 931/14, 394/51, 545/37 quickly i.e. 199913630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 931/14, 394/51, 545/37 is 199913630.

LCM(931/14, 394/51, 545/37) = 199913630

LCM of 931/14, 394/51, 545/37

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 931/14,394/51,545/37

Given numbers are 931/14,394/51,545/37

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 931,394,545

Least Common Multiple of Numerators i.e. LCM of 931,394,545 is 199913630.

GCF of Denominators means GCF of 14,51,37 as per the given fractions.

GCF of 14,51,37 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 931,394,545

LCM of Fractions 931/14,394/51,545/37 is 199913630

Given numbers has no common factors except 1. So, there LCM is their product i.e 199913630

Least Common Multiple of 931,394,545 with GCF Formula

Least Common Multiple of 931,394,545 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 931,394,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,394,545) = 1

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

GCF(931,394,545) x common factors =1 x 1 = 1

LCM(931,394,545) = ( 931 × 394 × 545 ) / 1

LCM(931,394,545) = 199913630 / 1

LCM(931,394,545) = 199913630


Lets's calculate GCF of 14,51,37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199913630/1

Therefore the LCM of Fractions 931/14,394/51,545/37 is 199913630

Greatest Common Factor of 14,51,37 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,51,37 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Greatest Common Factor

We found the factors 14,51,37 . The biggest common factor number is the GCF number.
So the greatest common factor 14,51,37 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 931/14, 394/51, 545/37

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 931/14, 394/51, 545/37?

Answer: LCM of Numerators as per given numbers 931/14, 394/51, 545/37 is

LCM of Numerators i.e. for 931,394,545 is 199913630

GCF of denominators i.e. for 14,51,37 is 1.

Thus, LCM of Fractions is 199913630.Finally, LCM of Fractions for 931/14, 394/51, 545/37 is 199913630.