Least Common Multiple of 47/627, 128/283, 701/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/627, 128/283, 701/976 quickly i.e. 4217216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/627, 128/283, 701/976 is 4217216.

LCM(47/627, 128/283, 701/976) = 4217216

LCM of 47/627, 128/283, 701/976

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 47/627,128/283,701/976

Given numbers are 47/627,128/283,701/976

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 47,128,701

Least Common Multiple of Numerators i.e. LCM of 47,128,701 is 4217216.

GCF of Denominators means GCF of 627,283,976 as per the given fractions.

GCF of 627,283,976 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,128,701

LCM of Fractions 47/627,128/283,701/976 is 4217216

Given numbers has no common factors except 1. So, there LCM is their product i.e 4217216

Least Common Multiple of 47,128,701 with GCF Formula

Least Common Multiple of 47,128,701 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 47,128,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,128,701) = 1

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

GCF(47,128,701) x common factors =1 x 1 = 1

LCM(47,128,701) = ( 47 × 128 × 701 ) / 1

LCM(47,128,701) = 4217216 / 1

LCM(47,128,701) = 4217216


Lets's calculate GCF of 627,283,976

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4217216/1

Therefore the LCM of Fractions 47/627,128/283,701/976 is 4217216

Greatest Common Factor of 627,283,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,283,976 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 627,283,976 . The biggest common factor number is the GCF number.
So the greatest common factor 627,283,976 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 47/627, 128/283, 701/976

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 47/627, 128/283, 701/976?

Answer: LCM of Numerators as per given numbers 47/627, 128/283, 701/976 is

LCM of Numerators i.e. for 47,128,701 is 4217216

GCF of denominators i.e. for 627,283,976 is 1.

Thus, LCM of Fractions is 4217216.Finally, LCM of Fractions for 47/627, 128/283, 701/976 is 4217216.