Least Common Multiple of 480/48, 776/9692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 480/48, 776/9692 quickly i.e. 11640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/48, 776/9692 is 11640.

LCM(480/48, 776/9692) = 11640

LCM of 480/48, 776/9692

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 480/48,776/9692

Given numbers are 480/48,776/9692

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 480,776

Least Common Multiple of Numerators i.e. LCM of 480,776 is 46560.

GCF of Denominators means GCF of 48,9692 as per the given fractions.

GCF of 48,9692 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,776

LCM of Fractions 480/48,776/9692 is 11640

2 480, 776
2 240, 388
2 120, 194
60, 97

∴ So the LCM of the given numbers is 2 x 2 x 2 x 60 x 97 = 46560

Least Common Multiple of 480,776 with GCF Formula

Least Common Multiple of 480,776 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 480,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,776) = 8

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

GCF(480,776) x common factors =8 x 1 = 8

LCM(480,776) = ( 480 × 776 ) / 8

LCM(480,776) = 372480 / 8

LCM(480,776) = 46560


Lets's calculate GCF of 48,9692

2 48, 9692
2 24, 4846
12, 2423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46560/4

Therefore the LCM of Fractions 480/48,776/9692 is 11640

Greatest Common Factor of 48,9692 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,9692 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 9692

List of positive integer factors of 9692 that divides 9692 without a remainder.

1,2,4,2423,4846,9692

Greatest Common Factor

We found the factors 48,9692 . The biggest common factor number is the GCF number.
So the greatest common factor 48,9692 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 480/48, 776/9692

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 480/48, 776/9692?

Answer: LCM of Numerators as per given numbers 480/48, 776/9692 is

LCM of Numerators i.e. for 480,776 is 46560

GCF of denominators i.e. for 48,9692 is 4.

Thus, LCM of Fractions is 11640.Finally, LCM of Fractions for 480/48, 776/9692 is 11640.