Least Common Multiple of 697/85, 269/4175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 697/85, 269/4175 quickly i.e. 187493/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 697/85, 269/4175 is 187493/5.

LCM(697/85, 269/4175) = 187493/5

LCM of 697/85, 269/4175

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 697/85,269/4175

Given numbers are 697/85,269/4175

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 697,269

Least Common Multiple of Numerators i.e. LCM of 697,269 is 187493.

GCF of Denominators means GCF of 85,4175 as per the given fractions.

GCF of 85,4175 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 697,269

LCM of Fractions 697/85,269/4175 is 187493/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 187493

Least Common Multiple of 697,269 with GCF Formula

Least Common Multiple of 697,269 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 697,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,269) = 1

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

GCF(697,269) x common factors =1 x 1 = 1

LCM(697,269) = ( 697 × 269 ) / 1

LCM(697,269) = 187493 / 1

LCM(697,269) = 187493


Lets's calculate GCF of 85,4175

5 85, 4175
17, 835

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187493/5

Therefore the LCM of Fractions 697/85,269/4175 is 187493/5

Greatest Common Factor of 85,4175 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,4175 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 4175

List of positive integer factors of 4175 that divides 4175 without a remainder.

1,5,25,167,835,4175

Greatest Common Factor

We found the factors 85,4175 . The biggest common factor number is the GCF number.
So the greatest common factor 85,4175 is 5.


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 697/85, 269/4175

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 697/85, 269/4175?

Answer: LCM of Numerators as per given numbers 697/85, 269/4175 is

LCM of Numerators i.e. for 697,269 is 187493

GCF of denominators i.e. for 85,4175 is 5.

Thus, LCM of Fractions is 187493/5.Finally, LCM of Fractions for 697/85, 269/4175 is 187493/5.