Least Common Multiple of 273/490, 2840/7515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 273/490, 2840/7515 quickly i.e. 155064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 273/490, 2840/7515 is 155064.

LCM(273/490, 2840/7515) = 155064

LCM of 273/490, 2840/7515

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 273/490,2840/7515

Given numbers are 273/490,2840/7515

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 273,2840

Least Common Multiple of Numerators i.e. LCM of 273,2840 is 775320.

GCF of Denominators means GCF of 490,7515 as per the given fractions.

GCF of 490,7515 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 273,2840

LCM of Fractions 273/490,2840/7515 is 155064

Given numbers has no common factors except 1. So, there LCM is their product i.e 775320

Least Common Multiple of 273,2840 with GCF Formula

Least Common Multiple of 273,2840 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 273,2840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,2840) = 1

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

GCF(273,2840) x common factors =1 x 1 = 1

LCM(273,2840) = ( 273 × 2840 ) / 1

LCM(273,2840) = 775320 / 1

LCM(273,2840) = 775320


Lets's calculate GCF of 490,7515

5 490, 7515
98, 1503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 775320/5

Therefore the LCM of Fractions 273/490,2840/7515 is 155064

Greatest Common Factor of 490,7515 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,7515 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 7515

List of positive integer factors of 7515 that divides 7515 without a remainder.

1,3,5,9,15,45,167,501,835,1503,2505,7515

Greatest Common Factor

We found the factors 490,7515 . The biggest common factor number is the GCF number.
So the greatest common factor 490,7515 is 5.


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 273/490, 2840/7515

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 273/490, 2840/7515?

Answer: LCM of Numerators as per given numbers 273/490, 2840/7515 is

LCM of Numerators i.e. for 273,2840 is 775320

GCF of denominators i.e. for 490,7515 is 5.

Thus, LCM of Fractions is 155064.Finally, LCM of Fractions for 273/490, 2840/7515 is 155064.