Least Common Multiple of 8951/496, 7303/3405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8951/496, 7303/3405 quickly i.e. 65369153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8951/496, 7303/3405 is 65369153.

LCM(8951/496, 7303/3405) = 65369153

LCM of 8951/496, 7303/3405

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 8951/496,7303/3405

Given numbers are 8951/496,7303/3405

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 8951,7303

Least Common Multiple of Numerators i.e. LCM of 8951,7303 is 65369153.

GCF of Denominators means GCF of 496,3405 as per the given fractions.

GCF of 496,3405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8951,7303

LCM of Fractions 8951/496,7303/3405 is 65369153

Given numbers has no common factors except 1. So, there LCM is their product i.e 65369153

Least Common Multiple of 8951,7303 with GCF Formula

Least Common Multiple of 8951,7303 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 8951,7303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8951,7303) = 1

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

GCF(8951,7303) x common factors =1 x 1 = 1

LCM(8951,7303) = ( 8951 × 7303 ) / 1

LCM(8951,7303) = 65369153 / 1

LCM(8951,7303) = 65369153


Lets's calculate GCF of 496,3405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65369153/1

Therefore the LCM of Fractions 8951/496,7303/3405 is 65369153

Greatest Common Factor of 496,3405 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,3405 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 3405

List of positive integer factors of 3405 that divides 3405 without a remainder.

1,3,5,15,227,681,1135,3405

Greatest Common Factor

We found the factors 496,3405 . The biggest common factor number is the GCF number.
So the greatest common factor 496,3405 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8951/496, 7303/3405

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 8951/496, 7303/3405?

Answer: LCM of Numerators as per given numbers 8951/496, 7303/3405 is

LCM of Numerators i.e. for 8951,7303 is 65369153

GCF of denominators i.e. for 496,3405 is 1.

Thus, LCM of Fractions is 65369153.Finally, LCM of Fractions for 8951/496, 7303/3405 is 65369153.