Least Common Multiple of 51/308, 55/186, 622/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/308, 55/186, 622/820 quickly i.e. 872355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/308, 55/186, 622/820 is 872355.

LCM(51/308, 55/186, 622/820) = 872355

LCM of 51/308, 55/186, 622/820

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 51/308,55/186,622/820

Given numbers are 51/308,55/186,622/820

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 51,55,622

Least Common Multiple of Numerators i.e. LCM of 51,55,622 is 1744710.

GCF of Denominators means GCF of 308,186,820 as per the given fractions.

GCF of 308,186,820 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,55,622

LCM of Fractions 51/308,55/186,622/820 is 872355

Given numbers has no common factors except 1. So, there LCM is their product i.e 1744710

Least Common Multiple of 51,55,622 with GCF Formula

Least Common Multiple of 51,55,622 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 51,55,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,55,622) = 1

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

GCF(51,55,622) x common factors =1 x 1 = 1

LCM(51,55,622) = ( 51 × 55 × 622 ) / 1

LCM(51,55,622) = 1744710 / 1

LCM(51,55,622) = 1744710


Lets's calculate GCF of 308,186,820

2 308, 186, 820
154, 93, 410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1744710/2

Therefore the LCM of Fractions 51/308,55/186,622/820 is 872355

Greatest Common Factor of 308,186,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,186,820 By Matching Biggest Common Factor Method

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

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 308,186,820 . The biggest common factor number is the GCF number.
So the greatest common factor 308,186,820 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 51/308, 55/186, 622/820

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 51/308, 55/186, 622/820?

Answer: LCM of Numerators as per given numbers 51/308, 55/186, 622/820 is

LCM of Numerators i.e. for 51,55,622 is 1744710

GCF of denominators i.e. for 308,186,820 is 2.

Thus, LCM of Fractions is 872355.Finally, LCM of Fractions for 51/308, 55/186, 622/820 is 872355.