Least Common Multiple of 147/28, 656/3986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 147/28, 656/3986 quickly i.e. 48216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/28, 656/3986 is 48216.

LCM(147/28, 656/3986) = 48216

LCM of 147/28, 656/3986

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 147/28,656/3986

Given numbers are 147/28,656/3986

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 147,656

Least Common Multiple of Numerators i.e. LCM of 147,656 is 96432.

GCF of Denominators means GCF of 28,3986 as per the given fractions.

GCF of 28,3986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,656

LCM of Fractions 147/28,656/3986 is 48216

Given numbers has no common factors except 1. So, there LCM is their product i.e 96432

Least Common Multiple of 147,656 with GCF Formula

Least Common Multiple of 147,656 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 147,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,656) = 1

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

GCF(147,656) x common factors =1 x 1 = 1

LCM(147,656) = ( 147 × 656 ) / 1

LCM(147,656) = 96432 / 1

LCM(147,656) = 96432


Lets's calculate GCF of 28,3986

2 28, 3986
14, 1993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96432/2

Therefore the LCM of Fractions 147/28,656/3986 is 48216

Greatest Common Factor of 28,3986 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,3986 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 3986

List of positive integer factors of 3986 that divides 3986 without a remainder.

1,2,1993,3986

Greatest Common Factor

We found the factors 28,3986 . The biggest common factor number is the GCF number.
So the greatest common factor 28,3986 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 147/28, 656/3986

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 147/28, 656/3986?

Answer: LCM of Numerators as per given numbers 147/28, 656/3986 is

LCM of Numerators i.e. for 147,656 is 96432

GCF of denominators i.e. for 28,3986 is 2.

Thus, LCM of Fractions is 48216.Finally, LCM of Fractions for 147/28, 656/3986 is 48216.