Least Common Multiple of 9/628, 17/315, 54/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/628, 17/315, 54/651 quickly i.e. 918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/628, 17/315, 54/651 is 918.

LCM(9/628, 17/315, 54/651) = 918

LCM of 9/628, 17/315, 54/651

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 9/628,17/315,54/651

Given numbers are 9/628,17/315,54/651

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 9,17,54

Least Common Multiple of Numerators i.e. LCM of 9,17,54 is 918.

GCF of Denominators means GCF of 628,315,651 as per the given fractions.

GCF of 628,315,651 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,17,54

LCM of Fractions 9/628,17/315,54/651 is 918

3 9, 17, 54
3 3, 17, 18
1, 17, 6

∴ So the LCM of the given numbers is 3 x 3 x 1 x 17 x 6 = 918

Least Common Multiple of 9,17,54 with GCF Formula

Least Common Multiple of 9,17,54 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 9,17,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,17,54) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(9,17,54) x common factors =1 x 9 = 9

LCM(9,17,54) = ( 9 × 17 × 54 ) / 9

LCM(9,17,54) = 8262 / 9

LCM(9,17,54) = 918


Lets's calculate GCF of 628,315,651

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 918/1

Therefore the LCM of Fractions 9/628,17/315,54/651 is 918

Greatest Common Factor of 628,315,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,315,651 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 628,315,651 . The biggest common factor number is the GCF number.
So the greatest common factor 628,315,651 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 9/628, 17/315, 54/651

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 9/628, 17/315, 54/651?

Answer: LCM of Numerators as per given numbers 9/628, 17/315, 54/651 is

LCM of Numerators i.e. for 9,17,54 is 918

GCF of denominators i.e. for 628,315,651 is 1.

Thus, LCM of Fractions is 918.Finally, LCM of Fractions for 9/628, 17/315, 54/651 is 918.