Least Common Multiple of 257/38, 353/68, 623/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 257/38, 353/68, 623/14 quickly i.e. 56519183/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 257/38, 353/68, 623/14 is 56519183/2.

LCM(257/38, 353/68, 623/14) = 56519183/2

LCM of 257/38, 353/68, 623/14

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 257/38,353/68,623/14

Given numbers are 257/38,353/68,623/14

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 257,353,623

Least Common Multiple of Numerators i.e. LCM of 257,353,623 is 56519183.

GCF of Denominators means GCF of 38,68,14 as per the given fractions.

GCF of 38,68,14 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 257,353,623

LCM of Fractions 257/38,353/68,623/14 is 56519183/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 56519183

Least Common Multiple of 257,353,623 with GCF Formula

Least Common Multiple of 257,353,623 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 257,353,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,353,623) = 1

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

GCF(257,353,623) x common factors =1 x 1 = 1

LCM(257,353,623) = ( 257 × 353 × 623 ) / 1

LCM(257,353,623) = 56519183 / 1

LCM(257,353,623) = 56519183


Lets's calculate GCF of 38,68,14

2 38, 68, 14
19, 34, 7

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56519183/2

Therefore the LCM of Fractions 257/38,353/68,623/14 is 56519183/2

Greatest Common Factor of 38,68,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,68,14 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Greatest Common Factor

We found the factors 38,68,14 . The biggest common factor number is the GCF number.
So the greatest common factor 38,68,14 is 2.


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 257/38, 353/68, 623/14

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 257/38, 353/68, 623/14?

Answer: LCM of Numerators as per given numbers 257/38, 353/68, 623/14 is

LCM of Numerators i.e. for 257,353,623 is 56519183

GCF of denominators i.e. for 38,68,14 is 2.

Thus, LCM of Fractions is 56519183/2.Finally, LCM of Fractions for 257/38, 353/68, 623/14 is 56519183/2.