Least Common Multiple of 687/69, 784/35, 945/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/69, 784/35, 945/669 quickly i.e. 24237360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/69, 784/35, 945/669 is 24237360.

LCM(687/69, 784/35, 945/669) = 24237360

LCM of 687/69, 784/35, 945/669

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 687/69,784/35,945/669

Given numbers are 687/69,784/35,945/669

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 687,784,945

Least Common Multiple of Numerators i.e. LCM of 687,784,945 is 24237360.

GCF of Denominators means GCF of 69,35,669 as per the given fractions.

GCF of 69,35,669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,784,945

LCM of Fractions 687/69,784/35,945/669 is 24237360

3 687, 784, 945
7 229, 784, 315
229, 112, 45

∴ So the LCM of the given numbers is 3 x 7 x 229 x 112 x 45 = 24237360

Least Common Multiple of 687,784,945 with GCF Formula

Least Common Multiple of 687,784,945 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 687,784,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,784,945) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(687,784,945) x common factors =1 x 21 = 21

LCM(687,784,945) = ( 687 × 784 × 945 ) / 21

LCM(687,784,945) = 508984560 / 21

LCM(687,784,945) = 24237360


Lets's calculate GCF of 69,35,669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24237360/1

Therefore the LCM of Fractions 687/69,784/35,945/669 is 24237360

Greatest Common Factor of 69,35,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,35,669 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 69,35,669 . The biggest common factor number is the GCF number.
So the greatest common factor 69,35,669 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 687/69, 784/35, 945/669

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 687/69, 784/35, 945/669?

Answer: LCM of Numerators as per given numbers 687/69, 784/35, 945/669 is

LCM of Numerators i.e. for 687,784,945 is 24237360

GCF of denominators i.e. for 69,35,669 is 1.

Thus, LCM of Fractions is 24237360.Finally, LCM of Fractions for 687/69, 784/35, 945/669 is 24237360.