Least Common Multiple of 3505/781, 5097/9218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3505/781, 5097/9218 quickly i.e. 17864985/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3505/781, 5097/9218 is 17864985/11.

LCM(3505/781, 5097/9218) = 17864985/11

LCM of 3505/781, 5097/9218

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 3505/781,5097/9218

Given numbers are 3505/781,5097/9218

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 3505,5097

Least Common Multiple of Numerators i.e. LCM of 3505,5097 is 17864985.

GCF of Denominators means GCF of 781,9218 as per the given fractions.

GCF of 781,9218 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3505,5097

LCM of Fractions 3505/781,5097/9218 is 17864985/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 17864985

Least Common Multiple of 3505,5097 with GCF Formula

Least Common Multiple of 3505,5097 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 3505,5097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3505,5097) = 1

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

GCF(3505,5097) x common factors =1 x 1 = 1

LCM(3505,5097) = ( 3505 × 5097 ) / 1

LCM(3505,5097) = 17864985 / 1

LCM(3505,5097) = 17864985


Lets's calculate GCF of 781,9218

11 781, 9218
71, 838

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17864985/11

Therefore the LCM of Fractions 3505/781,5097/9218 is 17864985/11

Greatest Common Factor of 781,9218 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,9218 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 9218

List of positive integer factors of 9218 that divides 9218 without a remainder.

1,2,11,22,419,838,4609,9218

Greatest Common Factor

We found the factors 781,9218 . The biggest common factor number is the GCF number.
So the greatest common factor 781,9218 is 11.


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 3505/781, 5097/9218

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 3505/781, 5097/9218?

Answer: LCM of Numerators as per given numbers 3505/781, 5097/9218 is

LCM of Numerators i.e. for 3505,5097 is 17864985

GCF of denominators i.e. for 781,9218 is 11.

Thus, LCM of Fractions is 17864985/11.Finally, LCM of Fractions for 3505/781, 5097/9218 is 17864985/11.