Least Common Multiple of 490/194, 561/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/194, 561/755 quickly i.e. 274890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/194, 561/755 is 274890.

LCM(490/194, 561/755) = 274890

LCM of 490/194, 561/755

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 490/194,561/755

Given numbers are 490/194,561/755

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 490,561

Least Common Multiple of Numerators i.e. LCM of 490,561 is 274890.

GCF of Denominators means GCF of 194,755 as per the given fractions.

GCF of 194,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,561

LCM of Fractions 490/194,561/755 is 274890

Given numbers has no common factors except 1. So, there LCM is their product i.e 274890

Least Common Multiple of 490,561 with GCF Formula

Least Common Multiple of 490,561 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 490,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,561) = 1

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

GCF(490,561) x common factors =1 x 1 = 1

LCM(490,561) = ( 490 × 561 ) / 1

LCM(490,561) = 274890 / 1

LCM(490,561) = 274890


Lets's calculate GCF of 194,755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274890/1

Therefore the LCM of Fractions 490/194,561/755 is 274890

Greatest Common Factor of 194,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,755 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 194,755 . The biggest common factor number is the GCF number.
So the greatest common factor 194,755 is 1.


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 490/194, 561/755

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 490/194, 561/755?

Answer: LCM of Numerators as per given numbers 490/194, 561/755 is

LCM of Numerators i.e. for 490,561 is 274890

GCF of denominators i.e. for 194,755 is 1.

Thus, LCM of Fractions is 274890.Finally, LCM of Fractions for 490/194, 561/755 is 274890.