Least Common Multiple of 1408/842, 7011/3687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1408/842, 7011/3687 quickly i.e. 9871488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1408/842, 7011/3687 is 9871488.

LCM(1408/842, 7011/3687) = 9871488

LCM of 1408/842, 7011/3687

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 1408/842,7011/3687

Given numbers are 1408/842,7011/3687

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 1408,7011

Least Common Multiple of Numerators i.e. LCM of 1408,7011 is 9871488.

GCF of Denominators means GCF of 842,3687 as per the given fractions.

GCF of 842,3687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1408,7011

LCM of Fractions 1408/842,7011/3687 is 9871488

Given numbers has no common factors except 1. So, there LCM is their product i.e 9871488

Least Common Multiple of 1408,7011 with GCF Formula

Least Common Multiple of 1408,7011 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 1408,7011 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1408,7011) = 1

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

GCF(1408,7011) x common factors =1 x 1 = 1

LCM(1408,7011) = ( 1408 × 7011 ) / 1

LCM(1408,7011) = 9871488 / 1

LCM(1408,7011) = 9871488


Lets's calculate GCF of 842,3687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9871488/1

Therefore the LCM of Fractions 1408/842,7011/3687 is 9871488

Greatest Common Factor of 842,3687 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,3687 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 3687

List of positive integer factors of 3687 that divides 3687 without a remainder.

1,3,1229,3687

Greatest Common Factor

We found the factors 842,3687 . The biggest common factor number is the GCF number.
So the greatest common factor 842,3687 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 1408/842, 7011/3687

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 1408/842, 7011/3687?

Answer: LCM of Numerators as per given numbers 1408/842, 7011/3687 is

LCM of Numerators i.e. for 1408,7011 is 9871488

GCF of denominators i.e. for 842,3687 is 1.

Thus, LCM of Fractions is 9871488.Finally, LCM of Fractions for 1408/842, 7011/3687 is 9871488.