Least Common Multiple of 48/214, 8407/6158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/214, 8407/6158 quickly i.e. 201768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/214, 8407/6158 is 201768.

LCM(48/214, 8407/6158) = 201768

LCM of 48/214, 8407/6158

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 48/214,8407/6158

Given numbers are 48/214,8407/6158

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 48,8407

Least Common Multiple of Numerators i.e. LCM of 48,8407 is 403536.

GCF of Denominators means GCF of 214,6158 as per the given fractions.

GCF of 214,6158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,8407

LCM of Fractions 48/214,8407/6158 is 201768

Given numbers has no common factors except 1. So, there LCM is their product i.e 403536

Least Common Multiple of 48,8407 with GCF Formula

Least Common Multiple of 48,8407 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 48,8407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,8407) = 1

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

GCF(48,8407) x common factors =1 x 1 = 1

LCM(48,8407) = ( 48 × 8407 ) / 1

LCM(48,8407) = 403536 / 1

LCM(48,8407) = 403536


Lets's calculate GCF of 214,6158

2 214, 6158
107, 3079

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403536/2

Therefore the LCM of Fractions 48/214,8407/6158 is 201768

Greatest Common Factor of 214,6158 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,6158 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 6158

List of positive integer factors of 6158 that divides 6158 without a remainder.

1,2,3079,6158

Greatest Common Factor

We found the factors 214,6158 . The biggest common factor number is the GCF number.
So the greatest common factor 214,6158 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 48/214, 8407/6158

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 48/214, 8407/6158?

Answer: LCM of Numerators as per given numbers 48/214, 8407/6158 is

LCM of Numerators i.e. for 48,8407 is 403536

GCF of denominators i.e. for 214,6158 is 2.

Thus, LCM of Fractions is 201768.Finally, LCM of Fractions for 48/214, 8407/6158 is 201768.