Least Common Multiple of 699/27, 890/9450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 699/27, 890/9450 quickly i.e. 622110/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/27, 890/9450 is 622110/27.

LCM(699/27, 890/9450) = 622110/27

LCM of 699/27, 890/9450

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 699/27,890/9450

Given numbers are 699/27,890/9450

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 699,890

Least Common Multiple of Numerators i.e. LCM of 699,890 is 622110.

GCF of Denominators means GCF of 27,9450 as per the given fractions.

GCF of 27,9450 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,890

LCM of Fractions 699/27,890/9450 is 622110/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 622110

Least Common Multiple of 699,890 with GCF Formula

Least Common Multiple of 699,890 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 699,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,890) = 1

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

GCF(699,890) x common factors =1 x 1 = 1

LCM(699,890) = ( 699 × 890 ) / 1

LCM(699,890) = 622110 / 1

LCM(699,890) = 622110


Lets's calculate GCF of 27,9450

3 27, 9450
3 9, 3150
3 3, 1050
1, 350

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 622110/27

Therefore the LCM of Fractions 699/27,890/9450 is 622110/27

Greatest Common Factor of 27,9450 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,9450 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 9450

List of positive integer factors of 9450 that divides 9450 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,25,27,30,35,42,45,50,54,63,70,75,90,105,126,135,150,175,189,210,225,270,315,350,378,450,525,630,675,945,1050,1350,1575,1890,3150,4725,9450

Greatest Common Factor

We found the factors 27,9450 . The biggest common factor number is the GCF number.
So the greatest common factor 27,9450 is 27.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 699/27, 890/9450

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 699/27, 890/9450?

Answer: LCM of Numerators as per given numbers 699/27, 890/9450 is

LCM of Numerators i.e. for 699,890 is 622110

GCF of denominators i.e. for 27,9450 is 27.

Thus, LCM of Fractions is 622110/27.Finally, LCM of Fractions for 699/27, 890/9450 is 622110/27.