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Least Common Multiple of 1500/55, 1800/605

Know Least Common Multiple of fractions 1500/55, 1800/605 quickly i.e. 9000/55 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1500/55, 1800/605 is 9000/55.

LCM(1500/55, 1800/605) = 9000/55

LCM of 1500/55, 1800/605

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 1500/55,1800/605

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 1500,1800

Least Common Multiple of Numerators i.e. LCM of 1500,1800 is 9000.

GCF of Denominators means GCF of 55,605 as per the given fractions.

GCF of 55,605 is 55 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1500,1800

Least Common Multiple (LCM) of 1500,1800 By Common Division

2 1500, 1800
2 750, 900
3 375, 450
5 125, 150
5 25, 30
5, 6

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 5 x 6 = 9000

Least Common Multiple of 1500,1800 with GCF Formula

Least Common Multiple of 1500,1800 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 1500,1800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1500,1800) = 300

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

GCF(1500,1800) x common factors =300 x 1 = 300

LCM(1500,1800) = ( 1500 × 1800 ) / 300

LCM(1500,1800) = 2700000 / 300

LCM(1500,1800) = 9000


Lets's calculate GCF of 55,605

Greatest Common Factor (GCF) of 55,605 By Common Division

5 55, 605
11 11, 121
1, 11

∴ So the GCF of the given numbers is 5 x 11 = 55

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9000/55

Therefore the LCM of Fractions 1500/55,1800/605 is 9000/55

Greatest Common Factor of 55,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,605 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 55,605 . The biggest common factor number is the GCF number.
So the greatest common factor 55,605 is 55.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1500/55, 1800/605

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 1500/55, 1800/605?

Answer: LCM of Numerators as per given numbers 1500/55, 1800/605 is

LCM of Numerators i.e. for 1500,1800 is 9000

GCF of denominators i.e. for 55,605 is 55.

Thus, LCM of Fractions is 9000/55.Finally, LCM of Fractions for 1500/55, 1800/605 is 9000/55.