Least Common Multiple of 8512/48, 4967/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8512/48, 4967/458 quickly i.e. 21139552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8512/48, 4967/458 is 21139552.

LCM(8512/48, 4967/458) = 21139552

LCM of 8512/48, 4967/458

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 8512/48,4967/458

Given numbers are 8512/48,4967/458

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 8512,4967

Least Common Multiple of Numerators i.e. LCM of 8512,4967 is 42279104.

GCF of Denominators means GCF of 48,458 as per the given fractions.

GCF of 48,458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8512,4967

LCM of Fractions 8512/48,4967/458 is 21139552

Given numbers has no common factors except 1. So, there LCM is their product i.e 42279104

Least Common Multiple of 8512,4967 with GCF Formula

Least Common Multiple of 8512,4967 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 8512,4967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8512,4967) = 1

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

GCF(8512,4967) x common factors =1 x 1 = 1

LCM(8512,4967) = ( 8512 × 4967 ) / 1

LCM(8512,4967) = 42279104 / 1

LCM(8512,4967) = 42279104


Lets's calculate GCF of 48,458

2 48, 458
24, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42279104/2

Therefore the LCM of Fractions 8512/48,4967/458 is 21139552

Greatest Common Factor of 48,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,458 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 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 48,458 . The biggest common factor number is the GCF number.
So the greatest common factor 48,458 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 8512/48, 4967/458

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 8512/48, 4967/458?

Answer: LCM of Numerators as per given numbers 8512/48, 4967/458 is

LCM of Numerators i.e. for 8512,4967 is 42279104

GCF of denominators i.e. for 48,458 is 2.

Thus, LCM of Fractions is 21139552.Finally, LCM of Fractions for 8512/48, 4967/458 is 21139552.