Least Common Multiple of 290/890, 1121/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 290/890, 1121/285 quickly i.e. 65018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/890, 1121/285 is 65018.

LCM(290/890, 1121/285) = 65018

LCM of 290/890, 1121/285

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 290/890,1121/285

Given numbers are 290/890,1121/285

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 290,1121

Least Common Multiple of Numerators i.e. LCM of 290,1121 is 325090.

GCF of Denominators means GCF of 890,285 as per the given fractions.

GCF of 890,285 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,1121

LCM of Fractions 290/890,1121/285 is 65018

Given numbers has no common factors except 1. So, there LCM is their product i.e 325090

Least Common Multiple of 290,1121 with GCF Formula

Least Common Multiple of 290,1121 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 290,1121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,1121) = 1

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

GCF(290,1121) x common factors =1 x 1 = 1

LCM(290,1121) = ( 290 × 1121 ) / 1

LCM(290,1121) = 325090 / 1

LCM(290,1121) = 325090


Lets's calculate GCF of 890,285

5 890, 285
178, 57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325090/5

Therefore the LCM of Fractions 290/890,1121/285 is 65018

Greatest Common Factor of 890,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,285 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 890,285 . The biggest common factor number is the GCF number.
So the greatest common factor 890,285 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 290/890, 1121/285

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 290/890, 1121/285?

Answer: LCM of Numerators as per given numbers 290/890, 1121/285 is

LCM of Numerators i.e. for 290,1121 is 325090

GCF of denominators i.e. for 890,285 is 5.

Thus, LCM of Fractions is 65018.Finally, LCM of Fractions for 290/890, 1121/285 is 65018.