Least Common Multiple of 49/74, 65/68, 42/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/74, 65/68, 42/540 quickly i.e. 9555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/74, 65/68, 42/540 is 9555.

LCM(49/74, 65/68, 42/540) = 9555

LCM of 49/74, 65/68, 42/540

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 49/74,65/68,42/540

Given numbers are 49/74,65/68,42/540

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 49,65,42

Least Common Multiple of Numerators i.e. LCM of 49,65,42 is 19110.

GCF of Denominators means GCF of 74,68,540 as per the given fractions.

GCF of 74,68,540 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,65,42

LCM of Fractions 49/74,65/68,42/540 is 9555

7 49, 65, 42
7, 65, 6

∴ So the LCM of the given numbers is 7 x 7 x 65 x 6 = 19110

Least Common Multiple of 49,65,42 with GCF Formula

Least Common Multiple of 49,65,42 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 49,65,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,65,42) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,65,42) x common factors =1 x 7 = 7

LCM(49,65,42) = ( 49 × 65 × 42 ) / 7

LCM(49,65,42) = 133770 / 7

LCM(49,65,42) = 19110


Lets's calculate GCF of 74,68,540

2 74, 68, 540
37, 34, 270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19110/2

Therefore the LCM of Fractions 49/74,65/68,42/540 is 9555

Greatest Common Factor of 74,68,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,68,540 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 74,68,540 . The biggest common factor number is the GCF number.
So the greatest common factor 74,68,540 is 2.


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 49/74, 65/68, 42/540

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 49/74, 65/68, 42/540?

Answer: LCM of Numerators as per given numbers 49/74, 65/68, 42/540 is

LCM of Numerators i.e. for 49,65,42 is 19110

GCF of denominators i.e. for 74,68,540 is 2.

Thus, LCM of Fractions is 9555.Finally, LCM of Fractions for 49/74, 65/68, 42/540 is 9555.