Least Common Multiple of 28/717, 6444/8957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/717, 6444/8957 quickly i.e. 45108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/717, 6444/8957 is 45108.

LCM(28/717, 6444/8957) = 45108

LCM of 28/717, 6444/8957

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 28/717,6444/8957

Given numbers are 28/717,6444/8957

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 28,6444

Least Common Multiple of Numerators i.e. LCM of 28,6444 is 45108.

GCF of Denominators means GCF of 717,8957 as per the given fractions.

GCF of 717,8957 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,6444

LCM of Fractions 28/717,6444/8957 is 45108

2 28, 6444
2 14, 3222
7, 1611

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1611 = 45108

Least Common Multiple of 28,6444 with GCF Formula

Least Common Multiple of 28,6444 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 28,6444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,6444) = 4

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

GCF(28,6444) x common factors =4 x 1 = 4

LCM(28,6444) = ( 28 × 6444 ) / 4

LCM(28,6444) = 180432 / 4

LCM(28,6444) = 45108


Lets's calculate GCF of 717,8957

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45108/1

Therefore the LCM of Fractions 28/717,6444/8957 is 45108

Greatest Common Factor of 717,8957 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,8957 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 8957

List of positive integer factors of 8957 that divides 8957 without a remainder.

1,13,53,169,689,8957

Greatest Common Factor

We found the factors 717,8957 . The biggest common factor number is the GCF number.
So the greatest common factor 717,8957 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/717, 6444/8957

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 28/717, 6444/8957?

Answer: LCM of Numerators as per given numbers 28/717, 6444/8957 is

LCM of Numerators i.e. for 28,6444 is 45108

GCF of denominators i.e. for 717,8957 is 1.

Thus, LCM of Fractions is 45108.Finally, LCM of Fractions for 28/717, 6444/8957 is 45108.