Least Common Multiple of 11/46, 68/51, 65/16, 64/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/46, 68/51, 65/16, 64/292 quickly i.e. 777920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/46, 68/51, 65/16, 64/292 is 777920.

LCM(11/46, 68/51, 65/16, 64/292) = 777920

LCM of 11/46, 68/51, 65/16, 64/292

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 11/46,68/51,65/16,64/292

Given numbers are 11/46,68/51,65/16,64/292

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 11,68,65,64

Least Common Multiple of Numerators i.e. LCM of 11,68,65,64 is 777920.

GCF of Denominators means GCF of 46,51,16,292 as per the given fractions.

GCF of 46,51,16,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,68,65,64

LCM of Fractions 11/46,68/51,65/16,64/292 is 777920

2 11, 68, 65, 64
2 11, 34, 65, 32
11, 17, 65, 16

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 65 x 16 = 777920

Least Common Multiple of 11,68,65,64 with GCF Formula

Least Common Multiple of 11,68,65,64 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 11,68,65,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,68,65,64) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(11,68,65,64) x common factors =1 x 4 = 4

LCM(11,68,65,64) = ( 11 × 68 × 65 × 64 ) / 4

LCM(11,68,65,64) = 3111680 / 4

LCM(11,68,65,64) = 777920


Lets's calculate GCF of 46,51,16,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 777920/1

Therefore the LCM of Fractions 11/46,68/51,65/16,64/292 is 777920

Greatest Common Factor of 46,51,16,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,51,16,292 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 46,51,16,292 . The biggest common factor number is the GCF number.
So the greatest common factor 46,51,16,292 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 11/46, 68/51, 65/16, 64/292

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 11/46, 68/51, 65/16, 64/292?

Answer: LCM of Numerators as per given numbers 11/46, 68/51, 65/16, 64/292 is

LCM of Numerators i.e. for 11,68,65,64 is 777920

GCF of denominators i.e. for 46,51,16,292 is 1.

Thus, LCM of Fractions is 777920.Finally, LCM of Fractions for 11/46, 68/51, 65/16, 64/292 is 777920.