Least Common Multiple of 624/19, 670/37, 686/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 624/19, 670/37, 686/765 quickly i.e. 71700720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 624/19, 670/37, 686/765 is 71700720.

LCM(624/19, 670/37, 686/765) = 71700720

LCM of 624/19, 670/37, 686/765

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 624/19,670/37,686/765

Given numbers are 624/19,670/37,686/765

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 624,670,686

Least Common Multiple of Numerators i.e. LCM of 624,670,686 is 71700720.

GCF of Denominators means GCF of 19,37,765 as per the given fractions.

GCF of 19,37,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 624,670,686

LCM of Fractions 624/19,670/37,686/765 is 71700720

2 624, 670, 686
312, 335, 343

∴ So the LCM of the given numbers is 2 x 312 x 335 x 343 = 71700720

Least Common Multiple of 624,670,686 with GCF Formula

Least Common Multiple of 624,670,686 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 624,670,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,670,686) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(624,670,686) x common factors =2 x 2 = 4

LCM(624,670,686) = ( 624 × 670 × 686 ) / 4

LCM(624,670,686) = 286802880 / 4

LCM(624,670,686) = 71700720


Lets's calculate GCF of 19,37,765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71700720/1

Therefore the LCM of Fractions 624/19,670/37,686/765 is 71700720

Greatest Common Factor of 19,37,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,37,765 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 19,37,765 . The biggest common factor number is the GCF number.
So the greatest common factor 19,37,765 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 624/19, 670/37, 686/765

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 624/19, 670/37, 686/765?

Answer: LCM of Numerators as per given numbers 624/19, 670/37, 686/765 is

LCM of Numerators i.e. for 624,670,686 is 71700720

GCF of denominators i.e. for 19,37,765 is 1.

Thus, LCM of Fractions is 71700720.Finally, LCM of Fractions for 624/19, 670/37, 686/765 is 71700720.