Least Common Multiple of 9306/764, 4626/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9306/764, 4626/488 quickly i.e. 2391642/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9306/764, 4626/488 is 2391642/4.

LCM(9306/764, 4626/488) = 2391642/4

LCM of 9306/764, 4626/488

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 9306/764,4626/488

Given numbers are 9306/764,4626/488

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 9306,4626

Least Common Multiple of Numerators i.e. LCM of 9306,4626 is 2391642.

GCF of Denominators means GCF of 764,488 as per the given fractions.

GCF of 764,488 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9306,4626

LCM of Fractions 9306/764,4626/488 is 2391642/4

2 9306, 4626
3 4653, 2313
3 1551, 771
517, 257

∴ So the LCM of the given numbers is 2 x 3 x 3 x 517 x 257 = 2391642

Least Common Multiple of 9306,4626 with GCF Formula

Least Common Multiple of 9306,4626 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 9306,4626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9306,4626) = 18

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

GCF(9306,4626) x common factors =18 x 1 = 18

LCM(9306,4626) = ( 9306 × 4626 ) / 18

LCM(9306,4626) = 43049556 / 18

LCM(9306,4626) = 2391642


Lets's calculate GCF of 764,488

2 764, 488
2 382, 244
191, 122

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2391642/4

Therefore the LCM of Fractions 9306/764,4626/488 is 2391642/4

Greatest Common Factor of 764,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,488 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 764,488 . The biggest common factor number is the GCF number.
So the greatest common factor 764,488 is 4.


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 9306/764, 4626/488

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 9306/764, 4626/488?

Answer: LCM of Numerators as per given numbers 9306/764, 4626/488 is

LCM of Numerators i.e. for 9306,4626 is 2391642

GCF of denominators i.e. for 764,488 is 4.

Thus, LCM of Fractions is 2391642/4.Finally, LCM of Fractions for 9306/764, 4626/488 is 2391642/4.