Least Common Multiple of 74/12, 14/85, 739/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/12, 14/85, 739/410 quickly i.e. 382802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/12, 14/85, 739/410 is 382802.

LCM(74/12, 14/85, 739/410) = 382802

LCM of 74/12, 14/85, 739/410

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 74/12,14/85,739/410

Given numbers are 74/12,14/85,739/410

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 74,14,739

Least Common Multiple of Numerators i.e. LCM of 74,14,739 is 382802.

GCF of Denominators means GCF of 12,85,410 as per the given fractions.

GCF of 12,85,410 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,14,739

LCM of Fractions 74/12,14/85,739/410 is 382802

2 74, 14, 739
37, 7, 739

∴ So the LCM of the given numbers is 2 x 37 x 7 x 739 = 382802

Least Common Multiple of 74,14,739 with GCF Formula

Least Common Multiple of 74,14,739 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 74,14,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,14,739) = 1

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

GCF(74,14,739) x common factors =1 x 2 = 2

LCM(74,14,739) = ( 74 × 14 × 739 ) / 2

LCM(74,14,739) = 765604 / 2

LCM(74,14,739) = 382802


Lets's calculate GCF of 12,85,410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382802/1

Therefore the LCM of Fractions 74/12,14/85,739/410 is 382802

Greatest Common Factor of 12,85,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,85,410 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 12,85,410 . The biggest common factor number is the GCF number.
So the greatest common factor 12,85,410 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 74/12, 14/85, 739/410

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 74/12, 14/85, 739/410?

Answer: LCM of Numerators as per given numbers 74/12, 14/85, 739/410 is

LCM of Numerators i.e. for 74,14,739 is 382802

GCF of denominators i.e. for 12,85,410 is 1.

Thus, LCM of Fractions is 382802.Finally, LCM of Fractions for 74/12, 14/85, 739/410 is 382802.