Least Common Multiple of 28/553, 654/71, 285/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/553, 654/71, 285/616 quickly i.e. 869820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/553, 654/71, 285/616 is 869820.

LCM(28/553, 654/71, 285/616) = 869820

LCM of 28/553, 654/71, 285/616

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 28/553,654/71,285/616

Given numbers are 28/553,654/71,285/616

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 28,654,285

Least Common Multiple of Numerators i.e. LCM of 28,654,285 is 869820.

GCF of Denominators means GCF of 553,71,616 as per the given fractions.

GCF of 553,71,616 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,654,285

LCM of Fractions 28/553,654/71,285/616 is 869820

2 28, 654, 285
3 14, 327, 285
14, 109, 95

∴ So the LCM of the given numbers is 2 x 3 x 14 x 109 x 95 = 869820

Least Common Multiple of 28,654,285 with GCF Formula

Least Common Multiple of 28,654,285 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 28,654,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,654,285) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(28,654,285) x common factors =1 x 6 = 6

LCM(28,654,285) = ( 28 × 654 × 285 ) / 6

LCM(28,654,285) = 5218920 / 6

LCM(28,654,285) = 869820


Lets's calculate GCF of 553,71,616

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 869820/1

Therefore the LCM of Fractions 28/553,654/71,285/616 is 869820

Greatest Common Factor of 553,71,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,71,616 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 553,71,616 . The biggest common factor number is the GCF number.
So the greatest common factor 553,71,616 is 1.


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 28/553, 654/71, 285/616

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 28/553, 654/71, 285/616?

Answer: LCM of Numerators as per given numbers 28/553, 654/71, 285/616 is

LCM of Numerators i.e. for 28,654,285 is 869820

GCF of denominators i.e. for 553,71,616 is 1.

Thus, LCM of Fractions is 869820.Finally, LCM of Fractions for 28/553, 654/71, 285/616 is 869820.