Least Common Multiple of 7178/86, 6008/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7178/86, 6008/462 quickly i.e. 10781356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7178/86, 6008/462 is 10781356.

LCM(7178/86, 6008/462) = 10781356

LCM of 7178/86, 6008/462

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 7178/86,6008/462

Given numbers are 7178/86,6008/462

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 7178,6008

Least Common Multiple of Numerators i.e. LCM of 7178,6008 is 21562712.

GCF of Denominators means GCF of 86,462 as per the given fractions.

GCF of 86,462 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7178,6008

LCM of Fractions 7178/86,6008/462 is 10781356

2 7178, 6008
3589, 3004

∴ So the LCM of the given numbers is 2 x 3589 x 3004 = 21562712

Least Common Multiple of 7178,6008 with GCF Formula

Least Common Multiple of 7178,6008 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 7178,6008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7178,6008) = 2

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

GCF(7178,6008) x common factors =2 x 1 = 2

LCM(7178,6008) = ( 7178 × 6008 ) / 2

LCM(7178,6008) = 43125424 / 2

LCM(7178,6008) = 21562712


Lets's calculate GCF of 86,462

2 86, 462
43, 231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21562712/2

Therefore the LCM of Fractions 7178/86,6008/462 is 10781356

Greatest Common Factor of 86,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,462 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 86,462 . The biggest common factor number is the GCF number.
So the greatest common factor 86,462 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 7178/86, 6008/462

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 7178/86, 6008/462?

Answer: LCM of Numerators as per given numbers 7178/86, 6008/462 is

LCM of Numerators i.e. for 7178,6008 is 21562712

GCF of denominators i.e. for 86,462 is 2.

Thus, LCM of Fractions is 10781356.Finally, LCM of Fractions for 7178/86, 6008/462 is 10781356.