Least Common Multiple of 391/16, 674/3926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 391/16, 674/3926 quickly i.e. 131767 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 391/16, 674/3926 is 131767.

LCM(391/16, 674/3926) = 131767

LCM of 391/16, 674/3926

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 391/16,674/3926

Given numbers are 391/16,674/3926

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 391,674

Least Common Multiple of Numerators i.e. LCM of 391,674 is 263534.

GCF of Denominators means GCF of 16,3926 as per the given fractions.

GCF of 16,3926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 391,674

LCM of Fractions 391/16,674/3926 is 131767

Given numbers has no common factors except 1. So, there LCM is their product i.e 263534

Least Common Multiple of 391,674 with GCF Formula

Least Common Multiple of 391,674 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 391,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,674) = 1

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

GCF(391,674) x common factors =1 x 1 = 1

LCM(391,674) = ( 391 × 674 ) / 1

LCM(391,674) = 263534 / 1

LCM(391,674) = 263534


Lets's calculate GCF of 16,3926

2 16, 3926
8, 1963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263534/2

Therefore the LCM of Fractions 391/16,674/3926 is 131767

Greatest Common Factor of 16,3926 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,3926 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 3926

List of positive integer factors of 3926 that divides 3926 without a remainder.

1,2,13,26,151,302,1963,3926

Greatest Common Factor

We found the factors 16,3926 . The biggest common factor number is the GCF number.
So the greatest common factor 16,3926 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 391/16, 674/3926

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 391/16, 674/3926?

Answer: LCM of Numerators as per given numbers 391/16, 674/3926 is

LCM of Numerators i.e. for 391,674 is 263534

GCF of denominators i.e. for 16,3926 is 2.

Thus, LCM of Fractions is 131767.Finally, LCM of Fractions for 391/16, 674/3926 is 131767.