Least Common Multiple of 1458/16, 6707/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1458/16, 6707/221 quickly i.e. 9778806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1458/16, 6707/221 is 9778806.

LCM(1458/16, 6707/221) = 9778806

LCM of 1458/16, 6707/221

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 1458/16,6707/221

Given numbers are 1458/16,6707/221

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 1458,6707

Least Common Multiple of Numerators i.e. LCM of 1458,6707 is 9778806.

GCF of Denominators means GCF of 16,221 as per the given fractions.

GCF of 16,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1458,6707

LCM of Fractions 1458/16,6707/221 is 9778806

Given numbers has no common factors except 1. So, there LCM is their product i.e 9778806

Least Common Multiple of 1458,6707 with GCF Formula

Least Common Multiple of 1458,6707 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 1458,6707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1458,6707) = 1

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

GCF(1458,6707) x common factors =1 x 1 = 1

LCM(1458,6707) = ( 1458 × 6707 ) / 1

LCM(1458,6707) = 9778806 / 1

LCM(1458,6707) = 9778806


Lets's calculate GCF of 16,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9778806/1

Therefore the LCM of Fractions 1458/16,6707/221 is 9778806

Greatest Common Factor of 16,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,221 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 16,221 . The biggest common factor number is the GCF number.
So the greatest common factor 16,221 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1458/16, 6707/221

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 1458/16, 6707/221?

Answer: LCM of Numerators as per given numbers 1458/16, 6707/221 is

LCM of Numerators i.e. for 1458,6707 is 9778806

GCF of denominators i.e. for 16,221 is 1.

Thus, LCM of Fractions is 9778806.Finally, LCM of Fractions for 1458/16, 6707/221 is 9778806.