Least Common Multiple of 65/136, 192/542, 931/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/136, 192/542, 931/616 quickly i.e. 5809440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/136, 192/542, 931/616 is 5809440.

LCM(65/136, 192/542, 931/616) = 5809440

LCM of 65/136, 192/542, 931/616

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 65/136,192/542,931/616

Given numbers are 65/136,192/542,931/616

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 65,192,931

Least Common Multiple of Numerators i.e. LCM of 65,192,931 is 11618880.

GCF of Denominators means GCF of 136,542,616 as per the given fractions.

GCF of 136,542,616 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,192,931

LCM of Fractions 65/136,192/542,931/616 is 5809440

Given numbers has no common factors except 1. So, there LCM is their product i.e 11618880

Least Common Multiple of 65,192,931 with GCF Formula

Least Common Multiple of 65,192,931 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 65,192,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,192,931) = 1

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

GCF(65,192,931) x common factors =1 x 1 = 1

LCM(65,192,931) = ( 65 × 192 × 931 ) / 1

LCM(65,192,931) = 11618880 / 1

LCM(65,192,931) = 11618880


Lets's calculate GCF of 136,542,616

2 136, 542, 616
68, 271, 308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11618880/2

Therefore the LCM of Fractions 65/136,192/542,931/616 is 5809440

Greatest Common Factor of 136,542,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,542,616 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 136,542,616 . The biggest common factor number is the GCF number.
So the greatest common factor 136,542,616 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 65/136, 192/542, 931/616

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 65/136, 192/542, 931/616?

Answer: LCM of Numerators as per given numbers 65/136, 192/542, 931/616 is

LCM of Numerators i.e. for 65,192,931 is 11618880

GCF of denominators i.e. for 136,542,616 is 2.

Thus, LCM of Fractions is 5809440.Finally, LCM of Fractions for 65/136, 192/542, 931/616 is 5809440.