Least Common Multiple of 3/65, 6/42, 19/96, 74/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/65, 6/42, 19/96, 74/740 quickly i.e. 4218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/65, 6/42, 19/96, 74/740 is 4218.

LCM(3/65, 6/42, 19/96, 74/740) = 4218

LCM of 3/65, 6/42, 19/96, 74/740

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 3/65,6/42,19/96,74/740

Given numbers are 3/65,6/42,19/96,74/740

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 3,6,19,74

Least Common Multiple of Numerators i.e. LCM of 3,6,19,74 is 4218.

GCF of Denominators means GCF of 65,42,96,740 as per the given fractions.

GCF of 65,42,96,740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,6,19,74

LCM of Fractions 3/65,6/42,19/96,74/740 is 4218

2 3, 6, 19, 74
3 3, 3, 19, 37
1, 1, 19, 37

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 19 x 37 = 4218

Least Common Multiple of 3,6,19,74 with GCF Formula

Least Common Multiple of 3,6,19,74 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 3,6,19,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,6,19,74) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(3,6,19,74) x common factors =1 x 6 = 6

LCM(3,6,19,74) = ( 3 × 6 × 19 × 74 ) / 6

LCM(3,6,19,74) = 25308 / 6

LCM(3,6,19,74) = 4218


Lets's calculate GCF of 65,42,96,740

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4218/1

Therefore the LCM of Fractions 3/65,6/42,19/96,74/740 is 4218

Greatest Common Factor of 65,42,96,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,42,96,740 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 65,42,96,740 . The biggest common factor number is the GCF number.
So the greatest common factor 65,42,96,740 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 3/65, 6/42, 19/96, 74/740

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 3/65, 6/42, 19/96, 74/740?

Answer: LCM of Numerators as per given numbers 3/65, 6/42, 19/96, 74/740 is

LCM of Numerators i.e. for 3,6,19,74 is 4218

GCF of denominators i.e. for 65,42,96,740 is 1.

Thus, LCM of Fractions is 4218.Finally, LCM of Fractions for 3/65, 6/42, 19/96, 74/740 is 4218.