Least Common Multiple of 670/70, 518/45, 576/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 670/70, 518/45, 576/644 quickly i.e. 49976640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/70, 518/45, 576/644 is 49976640.

LCM(670/70, 518/45, 576/644) = 49976640

LCM of 670/70, 518/45, 576/644

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 670/70,518/45,576/644

Given numbers are 670/70,518/45,576/644

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 670,518,576

Least Common Multiple of Numerators i.e. LCM of 670,518,576 is 49976640.

GCF of Denominators means GCF of 70,45,644 as per the given fractions.

GCF of 70,45,644 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,518,576

LCM of Fractions 670/70,518/45,576/644 is 49976640

2 670, 518, 576
335, 259, 288

∴ So the LCM of the given numbers is 2 x 335 x 259 x 288 = 49976640

Least Common Multiple of 670,518,576 with GCF Formula

Least Common Multiple of 670,518,576 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 670,518,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,518,576) = 2

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

GCF(670,518,576) x common factors =2 x 2 = 4

LCM(670,518,576) = ( 670 × 518 × 576 ) / 4

LCM(670,518,576) = 199906560 / 4

LCM(670,518,576) = 49976640


Lets's calculate GCF of 70,45,644

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49976640/1

Therefore the LCM of Fractions 670/70,518/45,576/644 is 49976640

Greatest Common Factor of 70,45,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,45,644 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 70,45,644 . The biggest common factor number is the GCF number.
So the greatest common factor 70,45,644 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 670/70, 518/45, 576/644

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 670/70, 518/45, 576/644?

Answer: LCM of Numerators as per given numbers 670/70, 518/45, 576/644 is

LCM of Numerators i.e. for 670,518,576 is 49976640

GCF of denominators i.e. for 70,45,644 is 1.

Thus, LCM of Fractions is 49976640.Finally, LCM of Fractions for 670/70, 518/45, 576/644 is 49976640.