Least Common Multiple of 1645/670, 3867/6523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1645/670, 3867/6523 quickly i.e. 6361215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1645/670, 3867/6523 is 6361215.

LCM(1645/670, 3867/6523) = 6361215

LCM of 1645/670, 3867/6523

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 1645/670,3867/6523

Given numbers are 1645/670,3867/6523

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 1645,3867

Least Common Multiple of Numerators i.e. LCM of 1645,3867 is 6361215.

GCF of Denominators means GCF of 670,6523 as per the given fractions.

GCF of 670,6523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1645,3867

LCM of Fractions 1645/670,3867/6523 is 6361215

Given numbers has no common factors except 1. So, there LCM is their product i.e 6361215

Least Common Multiple of 1645,3867 with GCF Formula

Least Common Multiple of 1645,3867 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 1645,3867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1645,3867) = 1

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

GCF(1645,3867) x common factors =1 x 1 = 1

LCM(1645,3867) = ( 1645 × 3867 ) / 1

LCM(1645,3867) = 6361215 / 1

LCM(1645,3867) = 6361215


Lets's calculate GCF of 670,6523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6361215/1

Therefore the LCM of Fractions 1645/670,3867/6523 is 6361215

Greatest Common Factor of 670,6523 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,6523 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 6523

List of positive integer factors of 6523 that divides 6523 without a remainder.

1,11,593,6523

Greatest Common Factor

We found the factors 670,6523 . The biggest common factor number is the GCF number.
So the greatest common factor 670,6523 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 1645/670, 3867/6523

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 1645/670, 3867/6523?

Answer: LCM of Numerators as per given numbers 1645/670, 3867/6523 is

LCM of Numerators i.e. for 1645,3867 is 6361215

GCF of denominators i.e. for 670,6523 is 1.

Thus, LCM of Fractions is 6361215.Finally, LCM of Fractions for 1645/670, 3867/6523 is 6361215.