Least Common Multiple of 3480/10, 1900/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3480/10, 1900/446 quickly i.e. 165300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3480/10, 1900/446 is 165300.

LCM(3480/10, 1900/446) = 165300

LCM of 3480/10, 1900/446

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 3480/10,1900/446

Given numbers are 3480/10,1900/446

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 3480,1900

Least Common Multiple of Numerators i.e. LCM of 3480,1900 is 330600.

GCF of Denominators means GCF of 10,446 as per the given fractions.

GCF of 10,446 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3480,1900

LCM of Fractions 3480/10,1900/446 is 165300

2 3480, 1900
2 1740, 950
5 870, 475
174, 95

∴ So the LCM of the given numbers is 2 x 2 x 5 x 174 x 95 = 330600

Least Common Multiple of 3480,1900 with GCF Formula

Least Common Multiple of 3480,1900 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 3480,1900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3480,1900) = 20

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

GCF(3480,1900) x common factors =20 x 1 = 20

LCM(3480,1900) = ( 3480 × 1900 ) / 20

LCM(3480,1900) = 6612000 / 20

LCM(3480,1900) = 330600


Lets's calculate GCF of 10,446

2 10, 446
5, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330600/2

Therefore the LCM of Fractions 3480/10,1900/446 is 165300

Greatest Common Factor of 10,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,446 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 10,446 . The biggest common factor number is the GCF number.
So the greatest common factor 10,446 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 3480/10, 1900/446

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 3480/10, 1900/446?

Answer: LCM of Numerators as per given numbers 3480/10, 1900/446 is

LCM of Numerators i.e. for 3480,1900 is 330600

GCF of denominators i.e. for 10,446 is 2.

Thus, LCM of Fractions is 165300.Finally, LCM of Fractions for 3480/10, 1900/446 is 165300.