Least Common Multiple of 199/275, 1757/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/275, 1757/425 quickly i.e. 349643/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/275, 1757/425 is 349643/25.

LCM(199/275, 1757/425) = 349643/25

LCM of 199/275, 1757/425

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 199/275,1757/425

Given numbers are 199/275,1757/425

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 199,1757

Least Common Multiple of Numerators i.e. LCM of 199,1757 is 349643.

GCF of Denominators means GCF of 275,425 as per the given fractions.

GCF of 275,425 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,1757

LCM of Fractions 199/275,1757/425 is 349643/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 349643

Least Common Multiple of 199,1757 with GCF Formula

Least Common Multiple of 199,1757 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 199,1757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,1757) = 1

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

GCF(199,1757) x common factors =1 x 1 = 1

LCM(199,1757) = ( 199 × 1757 ) / 1

LCM(199,1757) = 349643 / 1

LCM(199,1757) = 349643


Lets's calculate GCF of 275,425

5 275, 425
5 55, 85
11, 17

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 349643/25

Therefore the LCM of Fractions 199/275,1757/425 is 349643/25

Greatest Common Factor of 275,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,425 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 275,425 . The biggest common factor number is the GCF number.
So the greatest common factor 275,425 is 25.


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 199/275, 1757/425

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 199/275, 1757/425?

Answer: LCM of Numerators as per given numbers 199/275, 1757/425 is

LCM of Numerators i.e. for 199,1757 is 349643

GCF of denominators i.e. for 275,425 is 25.

Thus, LCM of Fractions is 349643/25.Finally, LCM of Fractions for 199/275, 1757/425 is 349643/25.