Least Common Multiple of 689/341, 507/602, 217/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/341, 507/602, 217/973 quickly i.e. 5831007 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/341, 507/602, 217/973 is 5831007.

LCM(689/341, 507/602, 217/973) = 5831007

LCM of 689/341, 507/602, 217/973

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 689/341,507/602,217/973

Given numbers are 689/341,507/602,217/973

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 689,507,217

Least Common Multiple of Numerators i.e. LCM of 689,507,217 is 5831007.

GCF of Denominators means GCF of 341,602,973 as per the given fractions.

GCF of 341,602,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,507,217

LCM of Fractions 689/341,507/602,217/973 is 5831007

13 689, 507, 217
53, 39, 217

∴ So the LCM of the given numbers is 13 x 53 x 39 x 217 = 5831007

Least Common Multiple of 689,507,217 with GCF Formula

Least Common Multiple of 689,507,217 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 689,507,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,507,217) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(689,507,217) x common factors =1 x 13 = 13

LCM(689,507,217) = ( 689 × 507 × 217 ) / 13

LCM(689,507,217) = 75803091 / 13

LCM(689,507,217) = 5831007


Lets's calculate GCF of 341,602,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5831007/1

Therefore the LCM of Fractions 689/341,507/602,217/973 is 5831007

Greatest Common Factor of 341,602,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,602,973 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 341,602,973 . The biggest common factor number is the GCF number.
So the greatest common factor 341,602,973 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 689/341, 507/602, 217/973

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 689/341, 507/602, 217/973?

Answer: LCM of Numerators as per given numbers 689/341, 507/602, 217/973 is

LCM of Numerators i.e. for 689,507,217 is 5831007

GCF of denominators i.e. for 341,602,973 is 1.

Thus, LCM of Fractions is 5831007.Finally, LCM of Fractions for 689/341, 507/602, 217/973 is 5831007.