Least Common Multiple of 696/77, 162/9559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 696/77, 162/9559 quickly i.e. 18792/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/77, 162/9559 is 18792/11.

LCM(696/77, 162/9559) = 18792/11

LCM of 696/77, 162/9559

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 696/77,162/9559

Given numbers are 696/77,162/9559

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 696,162

Least Common Multiple of Numerators i.e. LCM of 696,162 is 18792.

GCF of Denominators means GCF of 77,9559 as per the given fractions.

GCF of 77,9559 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,162

LCM of Fractions 696/77,162/9559 is 18792/11

2 696, 162
3 348, 81
116, 27

∴ So the LCM of the given numbers is 2 x 3 x 116 x 27 = 18792

Least Common Multiple of 696,162 with GCF Formula

Least Common Multiple of 696,162 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 696,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,162) = 6

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

GCF(696,162) x common factors =6 x 1 = 6

LCM(696,162) = ( 696 × 162 ) / 6

LCM(696,162) = 112752 / 6

LCM(696,162) = 18792


Lets's calculate GCF of 77,9559

11 77, 9559
7, 869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18792/11

Therefore the LCM of Fractions 696/77,162/9559 is 18792/11

Greatest Common Factor of 77,9559 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,9559 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 9559

List of positive integer factors of 9559 that divides 9559 without a remainder.

1,11,79,121,869,9559

Greatest Common Factor

We found the factors 77,9559 . The biggest common factor number is the GCF number.
So the greatest common factor 77,9559 is 11.


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 696/77, 162/9559

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 696/77, 162/9559?

Answer: LCM of Numerators as per given numbers 696/77, 162/9559 is

LCM of Numerators i.e. for 696,162 is 18792

GCF of denominators i.e. for 77,9559 is 11.

Thus, LCM of Fractions is 18792/11.Finally, LCM of Fractions for 696/77, 162/9559 is 18792/11.