Least Common Multiple of 9490/290, 3660/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9490/290, 3660/555 quickly i.e. 694668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9490/290, 3660/555 is 694668.

LCM(9490/290, 3660/555) = 694668

LCM of 9490/290, 3660/555

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 9490/290,3660/555

Given numbers are 9490/290,3660/555

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 9490,3660

Least Common Multiple of Numerators i.e. LCM of 9490,3660 is 3473340.

GCF of Denominators means GCF of 290,555 as per the given fractions.

GCF of 290,555 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9490,3660

LCM of Fractions 9490/290,3660/555 is 694668

2 9490, 3660
5 4745, 1830
949, 366

∴ So the LCM of the given numbers is 2 x 5 x 949 x 366 = 3473340

Least Common Multiple of 9490,3660 with GCF Formula

Least Common Multiple of 9490,3660 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 9490,3660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9490,3660) = 10

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

GCF(9490,3660) x common factors =10 x 1 = 10

LCM(9490,3660) = ( 9490 × 3660 ) / 10

LCM(9490,3660) = 34733400 / 10

LCM(9490,3660) = 3473340


Lets's calculate GCF of 290,555

5 290, 555
58, 111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3473340/5

Therefore the LCM of Fractions 9490/290,3660/555 is 694668

Greatest Common Factor of 290,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,555 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 290,555 . The biggest common factor number is the GCF number.
So the greatest common factor 290,555 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 9490/290, 3660/555

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 9490/290, 3660/555?

Answer: LCM of Numerators as per given numbers 9490/290, 3660/555 is

LCM of Numerators i.e. for 9490,3660 is 3473340

GCF of denominators i.e. for 290,555 is 5.

Thus, LCM of Fractions is 694668.Finally, LCM of Fractions for 9490/290, 3660/555 is 694668.