Least Common Multiple of 2945/374, 1824/5765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2945/374, 1824/5765 quickly i.e. 282720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2945/374, 1824/5765 is 282720.

LCM(2945/374, 1824/5765) = 282720

LCM of 2945/374, 1824/5765

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 2945/374,1824/5765

Given numbers are 2945/374,1824/5765

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 2945,1824

Least Common Multiple of Numerators i.e. LCM of 2945,1824 is 282720.

GCF of Denominators means GCF of 374,5765 as per the given fractions.

GCF of 374,5765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2945,1824

LCM of Fractions 2945/374,1824/5765 is 282720

19 2945, 1824
155, 96

∴ So the LCM of the given numbers is 19 x 155 x 96 = 282720

Least Common Multiple of 2945,1824 with GCF Formula

Least Common Multiple of 2945,1824 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 2945,1824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2945,1824) = 19

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

GCF(2945,1824) x common factors =19 x 1 = 19

LCM(2945,1824) = ( 2945 × 1824 ) / 19

LCM(2945,1824) = 5371680 / 19

LCM(2945,1824) = 282720


Lets's calculate GCF of 374,5765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282720/1

Therefore the LCM of Fractions 2945/374,1824/5765 is 282720

Greatest Common Factor of 374,5765 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,5765 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 5765

List of positive integer factors of 5765 that divides 5765 without a remainder.

1,5,1153,5765

Greatest Common Factor

We found the factors 374,5765 . The biggest common factor number is the GCF number.
So the greatest common factor 374,5765 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 2945/374, 1824/5765

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 2945/374, 1824/5765?

Answer: LCM of Numerators as per given numbers 2945/374, 1824/5765 is

LCM of Numerators i.e. for 2945,1824 is 282720

GCF of denominators i.e. for 374,5765 is 1.

Thus, LCM of Fractions is 282720.Finally, LCM of Fractions for 2945/374, 1824/5765 is 282720.