Least Common Multiple of 209/919, 345/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 209/919, 345/658 quickly i.e. 72105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 209/919, 345/658 is 72105.

LCM(209/919, 345/658) = 72105

LCM of 209/919, 345/658

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 209/919,345/658

Given numbers are 209/919,345/658

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 209,345

Least Common Multiple of Numerators i.e. LCM of 209,345 is 72105.

GCF of Denominators means GCF of 919,658 as per the given fractions.

GCF of 919,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 209,345

LCM of Fractions 209/919,345/658 is 72105

Given numbers has no common factors except 1. So, there LCM is their product i.e 72105

Least Common Multiple of 209,345 with GCF Formula

Least Common Multiple of 209,345 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 209,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,345) = 1

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

GCF(209,345) x common factors =1 x 1 = 1

LCM(209,345) = ( 209 × 345 ) / 1

LCM(209,345) = 72105 / 1

LCM(209,345) = 72105


Lets's calculate GCF of 919,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72105/1

Therefore the LCM of Fractions 209/919,345/658 is 72105

Greatest Common Factor of 919,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 919,658 By Matching Biggest Common Factor Method

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 919,658 . The biggest common factor number is the GCF number.
So the greatest common factor 919,658 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 209/919, 345/658

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 209/919, 345/658?

Answer: LCM of Numerators as per given numbers 209/919, 345/658 is

LCM of Numerators i.e. for 209,345 is 72105

GCF of denominators i.e. for 919,658 is 1.

Thus, LCM of Fractions is 72105.Finally, LCM of Fractions for 209/919, 345/658 is 72105.