Least Common Multiple of 220/16, 957/2305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 220/16, 957/2305 quickly i.e. 19140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 220/16, 957/2305 is 19140.

LCM(220/16, 957/2305) = 19140

LCM of 220/16, 957/2305

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 220/16,957/2305

Given numbers are 220/16,957/2305

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 220,957

Least Common Multiple of Numerators i.e. LCM of 220,957 is 19140.

GCF of Denominators means GCF of 16,2305 as per the given fractions.

GCF of 16,2305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 220,957

LCM of Fractions 220/16,957/2305 is 19140

11 220, 957
20, 87

∴ So the LCM of the given numbers is 11 x 20 x 87 = 19140

Least Common Multiple of 220,957 with GCF Formula

Least Common Multiple of 220,957 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 220,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,957) = 11

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

GCF(220,957) x common factors =11 x 1 = 11

LCM(220,957) = ( 220 × 957 ) / 11

LCM(220,957) = 210540 / 11

LCM(220,957) = 19140


Lets's calculate GCF of 16,2305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19140/1

Therefore the LCM of Fractions 220/16,957/2305 is 19140

Greatest Common Factor of 16,2305 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,2305 By Matching Biggest Common Factor Method

Factors of 16

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

1,2,4,8,16

Factors of 2305

List of positive integer factors of 2305 that divides 2305 without a remainder.

1,5,461,2305

Greatest Common Factor

We found the factors 16,2305 . The biggest common factor number is the GCF number.
So the greatest common factor 16,2305 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 220/16, 957/2305

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 220/16, 957/2305?

Answer: LCM of Numerators as per given numbers 220/16, 957/2305 is

LCM of Numerators i.e. for 220,957 is 19140

GCF of denominators i.e. for 16,2305 is 1.

Thus, LCM of Fractions is 19140.Finally, LCM of Fractions for 220/16, 957/2305 is 19140.