Least Common Multiple of 651/465, 780/383, 717/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 651/465, 780/383, 717/248 quickly i.e. 40453140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 651/465, 780/383, 717/248 is 40453140.

LCM(651/465, 780/383, 717/248) = 40453140

LCM of 651/465, 780/383, 717/248

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 651/465,780/383,717/248

Given numbers are 651/465,780/383,717/248

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 651,780,717

Least Common Multiple of Numerators i.e. LCM of 651,780,717 is 40453140.

GCF of Denominators means GCF of 465,383,248 as per the given fractions.

GCF of 465,383,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 651,780,717

LCM of Fractions 651/465,780/383,717/248 is 40453140

3 651, 780, 717
217, 260, 239

∴ So the LCM of the given numbers is 3 x 217 x 260 x 239 = 40453140

Least Common Multiple of 651,780,717 with GCF Formula

Least Common Multiple of 651,780,717 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 651,780,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,780,717) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(651,780,717) x common factors =3 x 3 = 9

LCM(651,780,717) = ( 651 × 780 × 717 ) / 9

LCM(651,780,717) = 364078260 / 9

LCM(651,780,717) = 40453140


Lets's calculate GCF of 465,383,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40453140/1

Therefore the LCM of Fractions 651/465,780/383,717/248 is 40453140

Greatest Common Factor of 465,383,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,383,248 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 465,383,248 . The biggest common factor number is the GCF number.
So the greatest common factor 465,383,248 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 651/465, 780/383, 717/248

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 651/465, 780/383, 717/248?

Answer: LCM of Numerators as per given numbers 651/465, 780/383, 717/248 is

LCM of Numerators i.e. for 651,780,717 is 40453140

GCF of denominators i.e. for 465,383,248 is 1.

Thus, LCM of Fractions is 40453140.Finally, LCM of Fractions for 651/465, 780/383, 717/248 is 40453140.