Least Common Multiple of 2640/345, 5848/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2640/345, 5848/300 quickly i.e. 128656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2640/345, 5848/300 is 128656.

LCM(2640/345, 5848/300) = 128656

LCM of 2640/345, 5848/300

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 2640/345,5848/300

Given numbers are 2640/345,5848/300

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 2640,5848

Least Common Multiple of Numerators i.e. LCM of 2640,5848 is 1929840.

GCF of Denominators means GCF of 345,300 as per the given fractions.

GCF of 345,300 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2640,5848

LCM of Fractions 2640/345,5848/300 is 128656

2 2640, 5848
2 1320, 2924
2 660, 1462
330, 731

∴ So the LCM of the given numbers is 2 x 2 x 2 x 330 x 731 = 1929840

Least Common Multiple of 2640,5848 with GCF Formula

Least Common Multiple of 2640,5848 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 2640,5848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2640,5848) = 8

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

GCF(2640,5848) x common factors =8 x 1 = 8

LCM(2640,5848) = ( 2640 × 5848 ) / 8

LCM(2640,5848) = 15438720 / 8

LCM(2640,5848) = 1929840


Lets's calculate GCF of 345,300

3 345, 300
5 115, 100
23, 20

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1929840/15

Therefore the LCM of Fractions 2640/345,5848/300 is 128656

Greatest Common Factor of 345,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,300 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 345,300 . The biggest common factor number is the GCF number.
So the greatest common factor 345,300 is 15.


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 2640/345, 5848/300

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 2640/345, 5848/300?

Answer: LCM of Numerators as per given numbers 2640/345, 5848/300 is

LCM of Numerators i.e. for 2640,5848 is 1929840

GCF of denominators i.e. for 345,300 is 15.

Thus, LCM of Fractions is 128656.Finally, LCM of Fractions for 2640/345, 5848/300 is 128656.