Least Common Multiple of 248/69, 238/63, 544/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 248/69, 238/63, 544/623 quickly i.e. 118048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 248/69, 238/63, 544/623 is 118048.

LCM(248/69, 238/63, 544/623) = 118048

LCM of 248/69, 238/63, 544/623

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 248/69,238/63,544/623

Given numbers are 248/69,238/63,544/623

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 248,238,544

Least Common Multiple of Numerators i.e. LCM of 248,238,544 is 118048.

GCF of Denominators means GCF of 69,63,623 as per the given fractions.

GCF of 69,63,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 248,238,544

LCM of Fractions 248/69,238/63,544/623 is 118048

2 248, 238, 544
2 124, 119, 272
2 62, 119, 136
17 31, 119, 68
31, 7, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 31 x 7 x 4 = 118048

Least Common Multiple of 248,238,544 with GCF Formula

Least Common Multiple of 248,238,544 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 248,238,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,238,544) = 2

common factors(in case of two or more numbers have common factors) = 136

GCF(248,238,544) x common factors =2 x 136 = 272

LCM(248,238,544) = ( 248 × 238 × 544 ) / 272

LCM(248,238,544) = 32109056 / 272

LCM(248,238,544) = 118048


Lets's calculate GCF of 69,63,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118048/1

Therefore the LCM of Fractions 248/69,238/63,544/623 is 118048

Greatest Common Factor of 69,63,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,63,623 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 69,63,623 . The biggest common factor number is the GCF number.
So the greatest common factor 69,63,623 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 248/69, 238/63, 544/623

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 248/69, 238/63, 544/623?

Answer: LCM of Numerators as per given numbers 248/69, 238/63, 544/623 is

LCM of Numerators i.e. for 248,238,544 is 118048

GCF of denominators i.e. for 69,63,623 is 1.

Thus, LCM of Fractions is 118048.Finally, LCM of Fractions for 248/69, 238/63, 544/623 is 118048.