Least Common Multiple of 97/348, 63/509, 206/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/348, 63/509, 206/345 quickly i.e. 1258866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/348, 63/509, 206/345 is 1258866.

LCM(97/348, 63/509, 206/345) = 1258866

LCM of 97/348, 63/509, 206/345

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 97/348,63/509,206/345

Given numbers are 97/348,63/509,206/345

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 97,63,206

Least Common Multiple of Numerators i.e. LCM of 97,63,206 is 1258866.

GCF of Denominators means GCF of 348,509,345 as per the given fractions.

GCF of 348,509,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,63,206

LCM of Fractions 97/348,63/509,206/345 is 1258866

Given numbers has no common factors except 1. So, there LCM is their product i.e 1258866

Least Common Multiple of 97,63,206 with GCF Formula

Least Common Multiple of 97,63,206 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 97,63,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,63,206) = 1

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

GCF(97,63,206) x common factors =1 x 1 = 1

LCM(97,63,206) = ( 97 × 63 × 206 ) / 1

LCM(97,63,206) = 1258866 / 1

LCM(97,63,206) = 1258866


Lets's calculate GCF of 348,509,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1258866/1

Therefore the LCM of Fractions 97/348,63/509,206/345 is 1258866

Greatest Common Factor of 348,509,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,509,345 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 348,509,345 . The biggest common factor number is the GCF number.
So the greatest common factor 348,509,345 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 97/348, 63/509, 206/345

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 97/348, 63/509, 206/345?

Answer: LCM of Numerators as per given numbers 97/348, 63/509, 206/345 is

LCM of Numerators i.e. for 97,63,206 is 1258866

GCF of denominators i.e. for 348,509,345 is 1.

Thus, LCM of Fractions is 1258866.Finally, LCM of Fractions for 97/348, 63/509, 206/345 is 1258866.