Least Common Multiple of 7664/453, 9456/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7664/453, 9456/459 quickly i.e. 1509808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7664/453, 9456/459 is 1509808.

LCM(7664/453, 9456/459) = 1509808

LCM of 7664/453, 9456/459

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 7664/453,9456/459

Given numbers are 7664/453,9456/459

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 7664,9456

Least Common Multiple of Numerators i.e. LCM of 7664,9456 is 4529424.

GCF of Denominators means GCF of 453,459 as per the given fractions.

GCF of 453,459 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7664,9456

LCM of Fractions 7664/453,9456/459 is 1509808

2 7664, 9456
2 3832, 4728
2 1916, 2364
2 958, 1182
479, 591

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 479 x 591 = 4529424

Least Common Multiple of 7664,9456 with GCF Formula

Least Common Multiple of 7664,9456 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 7664,9456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7664,9456) = 16

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

GCF(7664,9456) x common factors =16 x 1 = 16

LCM(7664,9456) = ( 7664 × 9456 ) / 16

LCM(7664,9456) = 72470784 / 16

LCM(7664,9456) = 4529424


Lets's calculate GCF of 453,459

3 453, 459
151, 153

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4529424/3

Therefore the LCM of Fractions 7664/453,9456/459 is 1509808

Greatest Common Factor of 453,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,459 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 453,459 . The biggest common factor number is the GCF number.
So the greatest common factor 453,459 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7664/453, 9456/459

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 7664/453, 9456/459?

Answer: LCM of Numerators as per given numbers 7664/453, 9456/459 is

LCM of Numerators i.e. for 7664,9456 is 4529424

GCF of denominators i.e. for 453,459 is 3.

Thus, LCM of Fractions is 1509808.Finally, LCM of Fractions for 7664/453, 9456/459 is 1509808.