Least Common Multiple of 329/840, 689/576, 171/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 329/840, 689/576, 171/951 quickly i.e. 12920817 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 329/840, 689/576, 171/951 is 12920817.

LCM(329/840, 689/576, 171/951) = 12920817

LCM of 329/840, 689/576, 171/951

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 329/840,689/576,171/951

Given numbers are 329/840,689/576,171/951

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 329,689,171

Least Common Multiple of Numerators i.e. LCM of 329,689,171 is 38762451.

GCF of Denominators means GCF of 840,576,951 as per the given fractions.

GCF of 840,576,951 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 329,689,171

LCM of Fractions 329/840,689/576,171/951 is 12920817

Given numbers has no common factors except 1. So, there LCM is their product i.e 38762451

Least Common Multiple of 329,689,171 with GCF Formula

Least Common Multiple of 329,689,171 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 329,689,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,689,171) = 1

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

GCF(329,689,171) x common factors =1 x 1 = 1

LCM(329,689,171) = ( 329 × 689 × 171 ) / 1

LCM(329,689,171) = 38762451 / 1

LCM(329,689,171) = 38762451


Lets's calculate GCF of 840,576,951

3 840, 576, 951
280, 192, 317

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38762451/3

Therefore the LCM of Fractions 329/840,689/576,171/951 is 12920817

Greatest Common Factor of 840,576,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,576,951 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 840,576,951 . The biggest common factor number is the GCF number.
So the greatest common factor 840,576,951 is 3.


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 329/840, 689/576, 171/951

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 329/840, 689/576, 171/951?

Answer: LCM of Numerators as per given numbers 329/840, 689/576, 171/951 is

LCM of Numerators i.e. for 329,689,171 is 38762451

GCF of denominators i.e. for 840,576,951 is 3.

Thus, LCM of Fractions is 12920817.Finally, LCM of Fractions for 329/840, 689/576, 171/951 is 12920817.