Least Common Multiple of 7978/486, 3176/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7978/486, 3176/440 quickly i.e. 6334532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7978/486, 3176/440 is 6334532.

LCM(7978/486, 3176/440) = 6334532

LCM of 7978/486, 3176/440

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 7978/486,3176/440

Given numbers are 7978/486,3176/440

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 7978,3176

Least Common Multiple of Numerators i.e. LCM of 7978,3176 is 12669064.

GCF of Denominators means GCF of 486,440 as per the given fractions.

GCF of 486,440 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7978,3176

LCM of Fractions 7978/486,3176/440 is 6334532

2 7978, 3176
3989, 1588

∴ So the LCM of the given numbers is 2 x 3989 x 1588 = 12669064

Least Common Multiple of 7978,3176 with GCF Formula

Least Common Multiple of 7978,3176 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 7978,3176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7978,3176) = 2

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

GCF(7978,3176) x common factors =2 x 1 = 2

LCM(7978,3176) = ( 7978 × 3176 ) / 2

LCM(7978,3176) = 25338128 / 2

LCM(7978,3176) = 12669064


Lets's calculate GCF of 486,440

2 486, 440
243, 220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12669064/2

Therefore the LCM of Fractions 7978/486,3176/440 is 6334532

Greatest Common Factor of 486,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,440 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 486,440 . The biggest common factor number is the GCF number.
So the greatest common factor 486,440 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 7978/486, 3176/440

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 7978/486, 3176/440?

Answer: LCM of Numerators as per given numbers 7978/486, 3176/440 is

LCM of Numerators i.e. for 7978,3176 is 12669064

GCF of denominators i.e. for 486,440 is 2.

Thus, LCM of Fractions is 6334532.Finally, LCM of Fractions for 7978/486, 3176/440 is 6334532.