Least Common Multiple of 59/490, 51/226, 296/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/490, 51/226, 296/295 quickly i.e. 890664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/490, 51/226, 296/295 is 890664.

LCM(59/490, 51/226, 296/295) = 890664

LCM of 59/490, 51/226, 296/295

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 59/490,51/226,296/295

Given numbers are 59/490,51/226,296/295

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 59,51,296

Least Common Multiple of Numerators i.e. LCM of 59,51,296 is 890664.

GCF of Denominators means GCF of 490,226,295 as per the given fractions.

GCF of 490,226,295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,51,296

LCM of Fractions 59/490,51/226,296/295 is 890664

Given numbers has no common factors except 1. So, there LCM is their product i.e 890664

Least Common Multiple of 59,51,296 with GCF Formula

Least Common Multiple of 59,51,296 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 59,51,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,51,296) = 1

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

GCF(59,51,296) x common factors =1 x 1 = 1

LCM(59,51,296) = ( 59 × 51 × 296 ) / 1

LCM(59,51,296) = 890664 / 1

LCM(59,51,296) = 890664


Lets's calculate GCF of 490,226,295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 890664/1

Therefore the LCM of Fractions 59/490,51/226,296/295 is 890664

Greatest Common Factor of 490,226,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,226,295 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 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 490,226,295 . The biggest common factor number is the GCF number.
So the greatest common factor 490,226,295 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 59/490, 51/226, 296/295

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 59/490, 51/226, 296/295?

Answer: LCM of Numerators as per given numbers 59/490, 51/226, 296/295 is

LCM of Numerators i.e. for 59,51,296 is 890664

GCF of denominators i.e. for 490,226,295 is 1.

Thus, LCM of Fractions is 890664.Finally, LCM of Fractions for 59/490, 51/226, 296/295 is 890664.