Least Common Multiple of 95/20, 33/992, 689/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/20, 33/992, 689/846 quickly i.e. 2160015/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/20, 33/992, 689/846 is 2160015/2.

LCM(95/20, 33/992, 689/846) = 2160015/2

LCM of 95/20, 33/992, 689/846

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 95/20,33/992,689/846

Given numbers are 95/20,33/992,689/846

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 95,33,689

Least Common Multiple of Numerators i.e. LCM of 95,33,689 is 2160015.

GCF of Denominators means GCF of 20,992,846 as per the given fractions.

GCF of 20,992,846 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,33,689

LCM of Fractions 95/20,33/992,689/846 is 2160015/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 2160015

Least Common Multiple of 95,33,689 with GCF Formula

Least Common Multiple of 95,33,689 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 95,33,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,33,689) = 1

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

GCF(95,33,689) x common factors =1 x 1 = 1

LCM(95,33,689) = ( 95 × 33 × 689 ) / 1

LCM(95,33,689) = 2160015 / 1

LCM(95,33,689) = 2160015


Lets's calculate GCF of 20,992,846

2 20, 992, 846
10, 496, 423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2160015/2

Therefore the LCM of Fractions 95/20,33/992,689/846 is 2160015/2

Greatest Common Factor of 20,992,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,992,846 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 20,992,846 . The biggest common factor number is the GCF number.
So the greatest common factor 20,992,846 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 95/20, 33/992, 689/846

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 95/20, 33/992, 689/846?

Answer: LCM of Numerators as per given numbers 95/20, 33/992, 689/846 is

LCM of Numerators i.e. for 95,33,689 is 2160015

GCF of denominators i.e. for 20,992,846 is 2.

Thus, LCM of Fractions is 2160015/2.Finally, LCM of Fractions for 95/20, 33/992, 689/846 is 2160015/2.