Least Common Multiple of 639/824, 145/218, 719/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 639/824, 145/218, 719/687 quickly i.e. 66618945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 639/824, 145/218, 719/687 is 66618945.

LCM(639/824, 145/218, 719/687) = 66618945

LCM of 639/824, 145/218, 719/687

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 639/824,145/218,719/687

Given numbers are 639/824,145/218,719/687

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 639,145,719

Least Common Multiple of Numerators i.e. LCM of 639,145,719 is 66618945.

GCF of Denominators means GCF of 824,218,687 as per the given fractions.

GCF of 824,218,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 639,145,719

LCM of Fractions 639/824,145/218,719/687 is 66618945

Given numbers has no common factors except 1. So, there LCM is their product i.e 66618945

Least Common Multiple of 639,145,719 with GCF Formula

Least Common Multiple of 639,145,719 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 639,145,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(639,145,719) = 1

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

GCF(639,145,719) x common factors =1 x 1 = 1

LCM(639,145,719) = ( 639 × 145 × 719 ) / 1

LCM(639,145,719) = 66618945 / 1

LCM(639,145,719) = 66618945


Lets's calculate GCF of 824,218,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66618945/1

Therefore the LCM of Fractions 639/824,145/218,719/687 is 66618945

Greatest Common Factor of 824,218,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,218,687 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 824,218,687 . The biggest common factor number is the GCF number.
So the greatest common factor 824,218,687 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 639/824, 145/218, 719/687

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 639/824, 145/218, 719/687?

Answer: LCM of Numerators as per given numbers 639/824, 145/218, 719/687 is

LCM of Numerators i.e. for 639,145,719 is 66618945

GCF of denominators i.e. for 824,218,687 is 1.

Thus, LCM of Fractions is 66618945.Finally, LCM of Fractions for 639/824, 145/218, 719/687 is 66618945.