Least Common Multiple of 695/29, 323/8249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 695/29, 323/8249 quickly i.e. 224485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 695/29, 323/8249 is 224485.

LCM(695/29, 323/8249) = 224485

LCM of 695/29, 323/8249

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 695/29,323/8249

Given numbers are 695/29,323/8249

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 695,323

Least Common Multiple of Numerators i.e. LCM of 695,323 is 224485.

GCF of Denominators means GCF of 29,8249 as per the given fractions.

GCF of 29,8249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 695,323

LCM of Fractions 695/29,323/8249 is 224485

Given numbers has no common factors except 1. So, there LCM is their product i.e 224485

Least Common Multiple of 695,323 with GCF Formula

Least Common Multiple of 695,323 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 695,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,323) = 1

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

GCF(695,323) x common factors =1 x 1 = 1

LCM(695,323) = ( 695 × 323 ) / 1

LCM(695,323) = 224485 / 1

LCM(695,323) = 224485


Lets's calculate GCF of 29,8249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224485/1

Therefore the LCM of Fractions 695/29,323/8249 is 224485

Greatest Common Factor of 29,8249 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,8249 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 8249

List of positive integer factors of 8249 that divides 8249 without a remainder.

1,73,113,8249

Greatest Common Factor

We found the factors 29,8249 . The biggest common factor number is the GCF number.
So the greatest common factor 29,8249 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 695/29, 323/8249

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 695/29, 323/8249?

Answer: LCM of Numerators as per given numbers 695/29, 323/8249 is

LCM of Numerators i.e. for 695,323 is 224485

GCF of denominators i.e. for 29,8249 is 1.

Thus, LCM of Fractions is 224485.Finally, LCM of Fractions for 695/29, 323/8249 is 224485.