Least Common Multiple of 300/50, 920/2045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/50, 920/2045 quickly i.e. 2760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/50, 920/2045 is 2760.

LCM(300/50, 920/2045) = 2760

LCM of 300/50, 920/2045

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 300/50,920/2045

Given numbers are 300/50,920/2045

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 300,920

Least Common Multiple of Numerators i.e. LCM of 300,920 is 13800.

GCF of Denominators means GCF of 50,2045 as per the given fractions.

GCF of 50,2045 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,920

LCM of Fractions 300/50,920/2045 is 2760

2 300, 920
2 150, 460
5 75, 230
15, 46

∴ So the LCM of the given numbers is 2 x 2 x 5 x 15 x 46 = 13800

Least Common Multiple of 300,920 with GCF Formula

Least Common Multiple of 300,920 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 300,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,920) = 20

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

GCF(300,920) x common factors =20 x 1 = 20

LCM(300,920) = ( 300 × 920 ) / 20

LCM(300,920) = 276000 / 20

LCM(300,920) = 13800


Lets's calculate GCF of 50,2045

5 50, 2045
10, 409

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13800/5

Therefore the LCM of Fractions 300/50,920/2045 is 2760

Greatest Common Factor of 50,2045 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,2045 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 2045

List of positive integer factors of 2045 that divides 2045 without a remainder.

1,5,409,2045

Greatest Common Factor

We found the factors 50,2045 . The biggest common factor number is the GCF number.
So the greatest common factor 50,2045 is 5.


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 300/50, 920/2045

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 300/50, 920/2045?

Answer: LCM of Numerators as per given numbers 300/50, 920/2045 is

LCM of Numerators i.e. for 300,920 is 13800

GCF of denominators i.e. for 50,2045 is 5.

Thus, LCM of Fractions is 2760.Finally, LCM of Fractions for 300/50, 920/2045 is 2760.