Least Common Multiple of 136/66, 560/76, 914/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 136/66, 560/76, 914/68 quickly i.e. 2175320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 136/66, 560/76, 914/68 is 2175320.

LCM(136/66, 560/76, 914/68) = 2175320

LCM of 136/66, 560/76, 914/68

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 136/66,560/76,914/68

Given numbers are 136/66,560/76,914/68

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 136,560,914

Least Common Multiple of Numerators i.e. LCM of 136,560,914 is 4350640.

GCF of Denominators means GCF of 66,76,68 as per the given fractions.

GCF of 66,76,68 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 136,560,914

LCM of Fractions 136/66,560/76,914/68 is 2175320

2 136, 560, 914
2 68, 280, 457
2 34, 140, 457
17, 70, 457

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 70 x 457 = 4350640

Least Common Multiple of 136,560,914 with GCF Formula

Least Common Multiple of 136,560,914 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 136,560,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,560,914) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(136,560,914) x common factors =2 x 8 = 16

LCM(136,560,914) = ( 136 × 560 × 914 ) / 16

LCM(136,560,914) = 69610240 / 16

LCM(136,560,914) = 4350640


Lets's calculate GCF of 66,76,68

2 66, 76, 68
33, 38, 34

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4350640/2

Therefore the LCM of Fractions 136/66,560/76,914/68 is 2175320

Greatest Common Factor of 66,76,68 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,76,68 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 68

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

1,2,4,17,34,68

Greatest Common Factor

We found the factors 66,76,68 . The biggest common factor number is the GCF number.
So the greatest common factor 66,76,68 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 136/66, 560/76, 914/68

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 136/66, 560/76, 914/68?

Answer: LCM of Numerators as per given numbers 136/66, 560/76, 914/68 is

LCM of Numerators i.e. for 136,560,914 is 4350640

GCF of denominators i.e. for 66,76,68 is 2.

Thus, LCM of Fractions is 2175320.Finally, LCM of Fractions for 136/66, 560/76, 914/68 is 2175320.