Least Common Multiple of 9963/753, 7786/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9963/753, 7786/315 quickly i.e. 25857306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9963/753, 7786/315 is 25857306.

LCM(9963/753, 7786/315) = 25857306

LCM of 9963/753, 7786/315

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 9963/753,7786/315

Given numbers are 9963/753,7786/315

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 9963,7786

Least Common Multiple of Numerators i.e. LCM of 9963,7786 is 77571918.

GCF of Denominators means GCF of 753,315 as per the given fractions.

GCF of 753,315 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9963,7786

LCM of Fractions 9963/753,7786/315 is 25857306

Given numbers has no common factors except 1. So, there LCM is their product i.e 77571918

Least Common Multiple of 9963,7786 with GCF Formula

Least Common Multiple of 9963,7786 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 9963,7786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9963,7786) = 1

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

GCF(9963,7786) x common factors =1 x 1 = 1

LCM(9963,7786) = ( 9963 × 7786 ) / 1

LCM(9963,7786) = 77571918 / 1

LCM(9963,7786) = 77571918


Lets's calculate GCF of 753,315

3 753, 315
251, 105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77571918/3

Therefore the LCM of Fractions 9963/753,7786/315 is 25857306

Greatest Common Factor of 753,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,315 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

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

Greatest Common Factor

We found the factors 753,315 . The biggest common factor number is the GCF number.
So the greatest common factor 753,315 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 9963/753, 7786/315

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 9963/753, 7786/315?

Answer: LCM of Numerators as per given numbers 9963/753, 7786/315 is

LCM of Numerators i.e. for 9963,7786 is 77571918

GCF of denominators i.e. for 753,315 is 3.

Thus, LCM of Fractions is 25857306.Finally, LCM of Fractions for 9963/753, 7786/315 is 25857306.