Least Common Multiple of 59/44, 51/99, 856/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/44, 51/99, 856/308 quickly i.e. 2575704/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/44, 51/99, 856/308 is 2575704/11.

LCM(59/44, 51/99, 856/308) = 2575704/11

LCM of 59/44, 51/99, 856/308

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 59/44,51/99,856/308

Given numbers are 59/44,51/99,856/308

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 59,51,856

Least Common Multiple of Numerators i.e. LCM of 59,51,856 is 2575704.

GCF of Denominators means GCF of 44,99,308 as per the given fractions.

GCF of 44,99,308 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,51,856

LCM of Fractions 59/44,51/99,856/308 is 2575704/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 2575704

Least Common Multiple of 59,51,856 with GCF Formula

Least Common Multiple of 59,51,856 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 59,51,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,51,856) = 1

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

GCF(59,51,856) x common factors =1 x 1 = 1

LCM(59,51,856) = ( 59 × 51 × 856 ) / 1

LCM(59,51,856) = 2575704 / 1

LCM(59,51,856) = 2575704


Lets's calculate GCF of 44,99,308

11 44, 99, 308
4, 9, 28

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2575704/11

Therefore the LCM of Fractions 59/44,51/99,856/308 is 2575704/11

Greatest Common Factor of 44,99,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,99,308 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 44,99,308 . The biggest common factor number is the GCF number.
So the greatest common factor 44,99,308 is 11.


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 59/44, 51/99, 856/308

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 59/44, 51/99, 856/308?

Answer: LCM of Numerators as per given numbers 59/44, 51/99, 856/308 is

LCM of Numerators i.e. for 59,51,856 is 2575704

GCF of denominators i.e. for 44,99,308 is 11.

Thus, LCM of Fractions is 2575704/11.Finally, LCM of Fractions for 59/44, 51/99, 856/308 is 2575704/11.