Least Common Multiple of 270/527, 4090/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/527, 4090/245 quickly i.e. 110430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/527, 4090/245 is 110430.

LCM(270/527, 4090/245) = 110430

LCM of 270/527, 4090/245

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 270/527,4090/245

Given numbers are 270/527,4090/245

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 270,4090

Least Common Multiple of Numerators i.e. LCM of 270,4090 is 110430.

GCF of Denominators means GCF of 527,245 as per the given fractions.

GCF of 527,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,4090

LCM of Fractions 270/527,4090/245 is 110430

2 270, 4090
5 135, 2045
27, 409

∴ So the LCM of the given numbers is 2 x 5 x 27 x 409 = 110430

Least Common Multiple of 270,4090 with GCF Formula

Least Common Multiple of 270,4090 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 270,4090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,4090) = 10

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

GCF(270,4090) x common factors =10 x 1 = 10

LCM(270,4090) = ( 270 × 4090 ) / 10

LCM(270,4090) = 1104300 / 10

LCM(270,4090) = 110430


Lets's calculate GCF of 527,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110430/1

Therefore the LCM of Fractions 270/527,4090/245 is 110430

Greatest Common Factor of 527,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,245 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 527,245 . The biggest common factor number is the GCF number.
So the greatest common factor 527,245 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 270/527, 4090/245

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 270/527, 4090/245?

Answer: LCM of Numerators as per given numbers 270/527, 4090/245 is

LCM of Numerators i.e. for 270,4090 is 110430

GCF of denominators i.e. for 527,245 is 1.

Thus, LCM of Fractions is 110430.Finally, LCM of Fractions for 270/527, 4090/245 is 110430.