Least Common Multiple of 245/58, 275/2572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 245/58, 275/2572 quickly i.e. 13475/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 245/58, 275/2572 is 13475/2.

LCM(245/58, 275/2572) = 13475/2

LCM of 245/58, 275/2572

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 245/58,275/2572

Given numbers are 245/58,275/2572

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 245,275

Least Common Multiple of Numerators i.e. LCM of 245,275 is 13475.

GCF of Denominators means GCF of 58,2572 as per the given fractions.

GCF of 58,2572 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 245,275

LCM of Fractions 245/58,275/2572 is 13475/2

5 245, 275
49, 55

∴ So the LCM of the given numbers is 5 x 49 x 55 = 13475

Least Common Multiple of 245,275 with GCF Formula

Least Common Multiple of 245,275 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 245,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,275) = 5

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

GCF(245,275) x common factors =5 x 1 = 5

LCM(245,275) = ( 245 × 275 ) / 5

LCM(245,275) = 67375 / 5

LCM(245,275) = 13475


Lets's calculate GCF of 58,2572

2 58, 2572
29, 1286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13475/2

Therefore the LCM of Fractions 245/58,275/2572 is 13475/2

Greatest Common Factor of 58,2572 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,2572 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 2572

List of positive integer factors of 2572 that divides 2572 without a remainder.

1,2,4,643,1286,2572

Greatest Common Factor

We found the factors 58,2572 . The biggest common factor number is the GCF number.
So the greatest common factor 58,2572 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 245/58, 275/2572

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 245/58, 275/2572?

Answer: LCM of Numerators as per given numbers 245/58, 275/2572 is

LCM of Numerators i.e. for 245,275 is 13475

GCF of denominators i.e. for 58,2572 is 2.

Thus, LCM of Fractions is 13475/2.Finally, LCM of Fractions for 245/58, 275/2572 is 13475/2.