Least Common Multiple of 28/670, 21/693, 417/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/670, 21/693, 417/549 quickly i.e. 11676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/670, 21/693, 417/549 is 11676.

LCM(28/670, 21/693, 417/549) = 11676

LCM of 28/670, 21/693, 417/549

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 28/670,21/693,417/549

Given numbers are 28/670,21/693,417/549

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 28,21,417

Least Common Multiple of Numerators i.e. LCM of 28,21,417 is 11676.

GCF of Denominators means GCF of 670,693,549 as per the given fractions.

GCF of 670,693,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,21,417

LCM of Fractions 28/670,21/693,417/549 is 11676

3 28, 21, 417
7 28, 7, 139
4, 1, 139

∴ So the LCM of the given numbers is 3 x 7 x 4 x 1 x 139 = 11676

Least Common Multiple of 28,21,417 with GCF Formula

Least Common Multiple of 28,21,417 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 28,21,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,21,417) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(28,21,417) x common factors =1 x 21 = 21

LCM(28,21,417) = ( 28 × 21 × 417 ) / 21

LCM(28,21,417) = 245196 / 21

LCM(28,21,417) = 11676


Lets's calculate GCF of 670,693,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11676/1

Therefore the LCM of Fractions 28/670,21/693,417/549 is 11676

Greatest Common Factor of 670,693,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,693,549 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 670,693,549 . The biggest common factor number is the GCF number.
So the greatest common factor 670,693,549 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 28/670, 21/693, 417/549

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 28/670, 21/693, 417/549?

Answer: LCM of Numerators as per given numbers 28/670, 21/693, 417/549 is

LCM of Numerators i.e. for 28,21,417 is 11676

GCF of denominators i.e. for 670,693,549 is 1.

Thus, LCM of Fractions is 11676.Finally, LCM of Fractions for 28/670, 21/693, 417/549 is 11676.