Least Common Multiple of 9545/290, 8890/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9545/290, 8890/664 quickly i.e. 8485505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9545/290, 8890/664 is 8485505.

LCM(9545/290, 8890/664) = 8485505

LCM of 9545/290, 8890/664

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 9545/290,8890/664

Given numbers are 9545/290,8890/664

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 9545,8890

Least Common Multiple of Numerators i.e. LCM of 9545,8890 is 16971010.

GCF of Denominators means GCF of 290,664 as per the given fractions.

GCF of 290,664 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9545,8890

LCM of Fractions 9545/290,8890/664 is 8485505

5 9545, 8890
1909, 1778

∴ So the LCM of the given numbers is 5 x 1909 x 1778 = 16971010

Least Common Multiple of 9545,8890 with GCF Formula

Least Common Multiple of 9545,8890 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 9545,8890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9545,8890) = 5

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

GCF(9545,8890) x common factors =5 x 1 = 5

LCM(9545,8890) = ( 9545 × 8890 ) / 5

LCM(9545,8890) = 84855050 / 5

LCM(9545,8890) = 16971010


Lets's calculate GCF of 290,664

2 290, 664
145, 332

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16971010/2

Therefore the LCM of Fractions 9545/290,8890/664 is 8485505

Greatest Common Factor of 290,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,664 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 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 290,664 . The biggest common factor number is the GCF number.
So the greatest common factor 290,664 is 2.


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 9545/290, 8890/664

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 9545/290, 8890/664?

Answer: LCM of Numerators as per given numbers 9545/290, 8890/664 is

LCM of Numerators i.e. for 9545,8890 is 16971010

GCF of denominators i.e. for 290,664 is 2.

Thus, LCM of Fractions is 8485505.Finally, LCM of Fractions for 9545/290, 8890/664 is 8485505.