Least Common Multiple of 679/33, 802/9625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 679/33, 802/9625 quickly i.e. 544558/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/33, 802/9625 is 544558/11.

LCM(679/33, 802/9625) = 544558/11

LCM of 679/33, 802/9625

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 679/33,802/9625

Given numbers are 679/33,802/9625

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 679,802

Least Common Multiple of Numerators i.e. LCM of 679,802 is 544558.

GCF of Denominators means GCF of 33,9625 as per the given fractions.

GCF of 33,9625 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,802

LCM of Fractions 679/33,802/9625 is 544558/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 544558

Least Common Multiple of 679,802 with GCF Formula

Least Common Multiple of 679,802 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 679,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,802) = 1

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

GCF(679,802) x common factors =1 x 1 = 1

LCM(679,802) = ( 679 × 802 ) / 1

LCM(679,802) = 544558 / 1

LCM(679,802) = 544558


Lets's calculate GCF of 33,9625

11 33, 9625
3, 875

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 544558/11

Therefore the LCM of Fractions 679/33,802/9625 is 544558/11

Greatest Common Factor of 33,9625 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,9625 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 9625

List of positive integer factors of 9625 that divides 9625 without a remainder.

1,5,7,11,25,35,55,77,125,175,275,385,875,1375,1925,9625

Greatest Common Factor

We found the factors 33,9625 . The biggest common factor number is the GCF number.
So the greatest common factor 33,9625 is 11.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 679/33, 802/9625

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 679/33, 802/9625?

Answer: LCM of Numerators as per given numbers 679/33, 802/9625 is

LCM of Numerators i.e. for 679,802 is 544558

GCF of denominators i.e. for 33,9625 is 11.

Thus, LCM of Fractions is 544558/11.Finally, LCM of Fractions for 679/33, 802/9625 is 544558/11.