Least Common Multiple of 789/648, 829/346, 872/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/648, 829/346, 872/699 quickly i.e. 570358632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/648, 829/346, 872/699 is 570358632.

LCM(789/648, 829/346, 872/699) = 570358632

LCM of 789/648, 829/346, 872/699

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 789/648,829/346,872/699

Given numbers are 789/648,829/346,872/699

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 789,829,872

Least Common Multiple of Numerators i.e. LCM of 789,829,872 is 570358632.

GCF of Denominators means GCF of 648,346,699 as per the given fractions.

GCF of 648,346,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,829,872

LCM of Fractions 789/648,829/346,872/699 is 570358632

Given numbers has no common factors except 1. So, there LCM is their product i.e 570358632

Least Common Multiple of 789,829,872 with GCF Formula

Least Common Multiple of 789,829,872 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 789,829,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,829,872) = 1

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

GCF(789,829,872) x common factors =1 x 1 = 1

LCM(789,829,872) = ( 789 × 829 × 872 ) / 1

LCM(789,829,872) = 570358632 / 1

LCM(789,829,872) = 570358632


Lets's calculate GCF of 648,346,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 570358632/1

Therefore the LCM of Fractions 789/648,829/346,872/699 is 570358632

Greatest Common Factor of 648,346,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,346,699 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 648,346,699 . The biggest common factor number is the GCF number.
So the greatest common factor 648,346,699 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 789/648, 829/346, 872/699

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 789/648, 829/346, 872/699?

Answer: LCM of Numerators as per given numbers 789/648, 829/346, 872/699 is

LCM of Numerators i.e. for 789,829,872 is 570358632

GCF of denominators i.e. for 648,346,699 is 1.

Thus, LCM of Fractions is 570358632.Finally, LCM of Fractions for 789/648, 829/346, 872/699 is 570358632.