Least Common Multiple of 42/38, 35/42, 49/65, 69/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/38, 35/42, 49/65, 69/915 quickly i.e. 33810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/38, 35/42, 49/65, 69/915 is 33810.

LCM(42/38, 35/42, 49/65, 69/915) = 33810

LCM of 42/38, 35/42, 49/65, 69/915

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 42/38,35/42,49/65,69/915

Given numbers are 42/38,35/42,49/65,69/915

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 42,35,49,69

Least Common Multiple of Numerators i.e. LCM of 42,35,49,69 is 33810.

GCF of Denominators means GCF of 38,42,65,915 as per the given fractions.

GCF of 38,42,65,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,35,49,69

LCM of Fractions 42/38,35/42,49/65,69/915 is 33810

3 42, 35, 49, 69
7 14, 35, 49, 23
2, 5, 7, 23

∴ So the LCM of the given numbers is 3 x 7 x 2 x 5 x 7 x 23 = 33810

Least Common Multiple of 42,35,49,69 with GCF Formula

Least Common Multiple of 42,35,49,69 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 42,35,49,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,35,49,69) = 1

common factors(in case of two or more numbers have common factors) = 147

GCF(42,35,49,69) x common factors =1 x 147 = 147

LCM(42,35,49,69) = ( 42 × 35 × 49 × 69 ) / 147

LCM(42,35,49,69) = 4970070 / 147

LCM(42,35,49,69) = 33810


Lets's calculate GCF of 38,42,65,915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33810/1

Therefore the LCM of Fractions 42/38,35/42,49/65,69/915 is 33810

Greatest Common Factor of 38,42,65,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,42,65,915 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

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 65

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

1,5,13,65

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 38,42,65,915 . The biggest common factor number is the GCF number.
So the greatest common factor 38,42,65,915 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 42/38, 35/42, 49/65, 69/915

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 42/38, 35/42, 49/65, 69/915?

Answer: LCM of Numerators as per given numbers 42/38, 35/42, 49/65, 69/915 is

LCM of Numerators i.e. for 42,35,49,69 is 33810

GCF of denominators i.e. for 38,42,65,915 is 1.

Thus, LCM of Fractions is 33810.Finally, LCM of Fractions for 42/38, 35/42, 49/65, 69/915 is 33810.