Least Common Multiple of 490/245, 285/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/245, 285/734 quickly i.e. 27930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/245, 285/734 is 27930.

LCM(490/245, 285/734) = 27930

LCM of 490/245, 285/734

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 490/245,285/734

Given numbers are 490/245,285/734

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 490,285

Least Common Multiple of Numerators i.e. LCM of 490,285 is 27930.

GCF of Denominators means GCF of 245,734 as per the given fractions.

GCF of 245,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,285

LCM of Fractions 490/245,285/734 is 27930

5 490, 285
98, 57

∴ So the LCM of the given numbers is 5 x 98 x 57 = 27930

Least Common Multiple of 490,285 with GCF Formula

Least Common Multiple of 490,285 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 490,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,285) = 5

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

GCF(490,285) x common factors =5 x 1 = 5

LCM(490,285) = ( 490 × 285 ) / 5

LCM(490,285) = 139650 / 5

LCM(490,285) = 27930


Lets's calculate GCF of 245,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27930/1

Therefore the LCM of Fractions 490/245,285/734 is 27930

Greatest Common Factor of 245,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,734 By Matching Biggest Common Factor Method

Factors of 245

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

1,5,7,35,49,245

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 245,734 . The biggest common factor number is the GCF number.
So the greatest common factor 245,734 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 490/245, 285/734

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 490/245, 285/734?

Answer: LCM of Numerators as per given numbers 490/245, 285/734 is

LCM of Numerators i.e. for 490,285 is 27930

GCF of denominators i.e. for 245,734 is 1.

Thus, LCM of Fractions is 27930.Finally, LCM of Fractions for 490/245, 285/734 is 27930.