Least Common Multiple of 2341/670, 6824/6153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2341/670, 6824/6153 quickly i.e. 15974984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2341/670, 6824/6153 is 15974984.

LCM(2341/670, 6824/6153) = 15974984

LCM of 2341/670, 6824/6153

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 2341/670,6824/6153

Given numbers are 2341/670,6824/6153

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 2341,6824

Least Common Multiple of Numerators i.e. LCM of 2341,6824 is 15974984.

GCF of Denominators means GCF of 670,6153 as per the given fractions.

GCF of 670,6153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2341,6824

LCM of Fractions 2341/670,6824/6153 is 15974984

Given numbers has no common factors except 1. So, there LCM is their product i.e 15974984

Least Common Multiple of 2341,6824 with GCF Formula

Least Common Multiple of 2341,6824 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 2341,6824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2341,6824) = 1

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

GCF(2341,6824) x common factors =1 x 1 = 1

LCM(2341,6824) = ( 2341 × 6824 ) / 1

LCM(2341,6824) = 15974984 / 1

LCM(2341,6824) = 15974984


Lets's calculate GCF of 670,6153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15974984/1

Therefore the LCM of Fractions 2341/670,6824/6153 is 15974984

Greatest Common Factor of 670,6153 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,6153 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 6153

List of positive integer factors of 6153 that divides 6153 without a remainder.

1,3,7,21,293,879,2051,6153

Greatest Common Factor

We found the factors 670,6153 . The biggest common factor number is the GCF number.
So the greatest common factor 670,6153 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 2341/670, 6824/6153

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 2341/670, 6824/6153?

Answer: LCM of Numerators as per given numbers 2341/670, 6824/6153 is

LCM of Numerators i.e. for 2341,6824 is 15974984

GCF of denominators i.e. for 670,6153 is 1.

Thus, LCM of Fractions is 15974984.Finally, LCM of Fractions for 2341/670, 6824/6153 is 15974984.