Least Common Multiple of 8453/58, 6963/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8453/58, 6963/144 quickly i.e. 58858239/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8453/58, 6963/144 is 58858239/2.

LCM(8453/58, 6963/144) = 58858239/2

LCM of 8453/58, 6963/144

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 8453/58,6963/144

Given numbers are 8453/58,6963/144

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 8453,6963

Least Common Multiple of Numerators i.e. LCM of 8453,6963 is 58858239.

GCF of Denominators means GCF of 58,144 as per the given fractions.

GCF of 58,144 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8453,6963

LCM of Fractions 8453/58,6963/144 is 58858239/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 58858239

Least Common Multiple of 8453,6963 with GCF Formula

Least Common Multiple of 8453,6963 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 8453,6963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8453,6963) = 1

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

GCF(8453,6963) x common factors =1 x 1 = 1

LCM(8453,6963) = ( 8453 × 6963 ) / 1

LCM(8453,6963) = 58858239 / 1

LCM(8453,6963) = 58858239


Lets's calculate GCF of 58,144

2 58, 144
29, 72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58858239/2

Therefore the LCM of Fractions 8453/58,6963/144 is 58858239/2

Greatest Common Factor of 58,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,144 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 58,144 . The biggest common factor number is the GCF number.
So the greatest common factor 58,144 is 2.


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Frequently Asked Questions on Fractional LCM of 8453/58, 6963/144

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 8453/58, 6963/144?

Answer: LCM of Numerators as per given numbers 8453/58, 6963/144 is

LCM of Numerators i.e. for 8453,6963 is 58858239

GCF of denominators i.e. for 58,144 is 2.

Thus, LCM of Fractions is 58858239/2.Finally, LCM of Fractions for 8453/58, 6963/144 is 58858239/2.