Least Common Multiple of 651/689, 7215/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 651/689, 7215/718 quickly i.e. 1565655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 651/689, 7215/718 is 1565655.

LCM(651/689, 7215/718) = 1565655

LCM of 651/689, 7215/718

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 651/689,7215/718

Given numbers are 651/689,7215/718

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 651,7215

Least Common Multiple of Numerators i.e. LCM of 651,7215 is 1565655.

GCF of Denominators means GCF of 689,718 as per the given fractions.

GCF of 689,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 651,7215

LCM of Fractions 651/689,7215/718 is 1565655

3 651, 7215
217, 2405

∴ So the LCM of the given numbers is 3 x 217 x 2405 = 1565655

Least Common Multiple of 651,7215 with GCF Formula

Least Common Multiple of 651,7215 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 651,7215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,7215) = 3

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

GCF(651,7215) x common factors =3 x 1 = 3

LCM(651,7215) = ( 651 × 7215 ) / 3

LCM(651,7215) = 4696965 / 3

LCM(651,7215) = 1565655


Lets's calculate GCF of 689,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1565655/1

Therefore the LCM of Fractions 651/689,7215/718 is 1565655

Greatest Common Factor of 689,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,718 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 689,718 . The biggest common factor number is the GCF number.
So the greatest common factor 689,718 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 651/689, 7215/718

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 651/689, 7215/718?

Answer: LCM of Numerators as per given numbers 651/689, 7215/718 is

LCM of Numerators i.e. for 651,7215 is 1565655

GCF of denominators i.e. for 689,718 is 1.

Thus, LCM of Fractions is 1565655.Finally, LCM of Fractions for 651/689, 7215/718 is 1565655.