Least Common Multiple of 626/24, 253/23, 380/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 626/24, 253/23, 380/48 quickly i.e. 30091820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 626/24, 253/23, 380/48 is 30091820.

LCM(626/24, 253/23, 380/48) = 30091820

LCM of 626/24, 253/23, 380/48

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 626/24,253/23,380/48

Given numbers are 626/24,253/23,380/48

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 626,253,380

Least Common Multiple of Numerators i.e. LCM of 626,253,380 is 30091820.

GCF of Denominators means GCF of 24,23,48 as per the given fractions.

GCF of 24,23,48 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 626,253,380

LCM of Fractions 626/24,253/23,380/48 is 30091820

2 626, 253, 380
313, 253, 190

∴ So the LCM of the given numbers is 2 x 313 x 253 x 190 = 30091820

Least Common Multiple of 626,253,380 with GCF Formula

Least Common Multiple of 626,253,380 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 626,253,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,253,380) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(626,253,380) x common factors =1 x 2 = 2

LCM(626,253,380) = ( 626 × 253 × 380 ) / 2

LCM(626,253,380) = 60183640 / 2

LCM(626,253,380) = 30091820


Lets's calculate GCF of 24,23,48

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30091820/1

Therefore the LCM of Fractions 626/24,253/23,380/48 is 30091820

Greatest Common Factor of 24,23,48 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,23,48 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Greatest Common Factor

We found the factors 24,23,48 . The biggest common factor number is the GCF number.
So the greatest common factor 24,23,48 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 626/24, 253/23, 380/48

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 626/24, 253/23, 380/48?

Answer: LCM of Numerators as per given numbers 626/24, 253/23, 380/48 is

LCM of Numerators i.e. for 626,253,380 is 30091820

GCF of denominators i.e. for 24,23,48 is 1.

Thus, LCM of Fractions is 30091820.Finally, LCM of Fractions for 626/24, 253/23, 380/48 is 30091820.