Least Common Multiple of 53/304, 22/956, 695/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/304, 22/956, 695/622 quickly i.e. 405185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/304, 22/956, 695/622 is 405185.

LCM(53/304, 22/956, 695/622) = 405185

LCM of 53/304, 22/956, 695/622

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 53/304,22/956,695/622

Given numbers are 53/304,22/956,695/622

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 53,22,695

Least Common Multiple of Numerators i.e. LCM of 53,22,695 is 810370.

GCF of Denominators means GCF of 304,956,622 as per the given fractions.

GCF of 304,956,622 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,22,695

LCM of Fractions 53/304,22/956,695/622 is 405185

Given numbers has no common factors except 1. So, there LCM is their product i.e 810370

Least Common Multiple of 53,22,695 with GCF Formula

Least Common Multiple of 53,22,695 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 53,22,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,22,695) = 1

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

GCF(53,22,695) x common factors =1 x 1 = 1

LCM(53,22,695) = ( 53 × 22 × 695 ) / 1

LCM(53,22,695) = 810370 / 1

LCM(53,22,695) = 810370


Lets's calculate GCF of 304,956,622

2 304, 956, 622
152, 478, 311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 810370/2

Therefore the LCM of Fractions 53/304,22/956,695/622 is 405185

Greatest Common Factor of 304,956,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,956,622 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 304,956,622 . The biggest common factor number is the GCF number.
So the greatest common factor 304,956,622 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 53/304, 22/956, 695/622

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 53/304, 22/956, 695/622?

Answer: LCM of Numerators as per given numbers 53/304, 22/956, 695/622 is

LCM of Numerators i.e. for 53,22,695 is 810370

GCF of denominators i.e. for 304,956,622 is 2.

Thus, LCM of Fractions is 405185.Finally, LCM of Fractions for 53/304, 22/956, 695/622 is 405185.