Least Common Multiple of 490/58, 253/3524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/58, 253/3524 quickly i.e. 61985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/58, 253/3524 is 61985.

LCM(490/58, 253/3524) = 61985

LCM of 490/58, 253/3524

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 490/58,253/3524

Given numbers are 490/58,253/3524

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 490,253

Least Common Multiple of Numerators i.e. LCM of 490,253 is 123970.

GCF of Denominators means GCF of 58,3524 as per the given fractions.

GCF of 58,3524 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,253

LCM of Fractions 490/58,253/3524 is 61985

Given numbers has no common factors except 1. So, there LCM is their product i.e 123970

Least Common Multiple of 490,253 with GCF Formula

Least Common Multiple of 490,253 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 490,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,253) = 1

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

GCF(490,253) x common factors =1 x 1 = 1

LCM(490,253) = ( 490 × 253 ) / 1

LCM(490,253) = 123970 / 1

LCM(490,253) = 123970


Lets's calculate GCF of 58,3524

2 58, 3524
29, 1762

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123970/2

Therefore the LCM of Fractions 490/58,253/3524 is 61985

Greatest Common Factor of 58,3524 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,3524 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 3524

List of positive integer factors of 3524 that divides 3524 without a remainder.

1,2,4,881,1762,3524

Greatest Common Factor

We found the factors 58,3524 . The biggest common factor number is the GCF number.
So the greatest common factor 58,3524 is 2.


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 490/58, 253/3524

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 490/58, 253/3524?

Answer: LCM of Numerators as per given numbers 490/58, 253/3524 is

LCM of Numerators i.e. for 490,253 is 123970

GCF of denominators i.e. for 58,3524 is 2.

Thus, LCM of Fractions is 61985.Finally, LCM of Fractions for 490/58, 253/3524 is 61985.