Least Common Multiple of 14/922, 488/101, 793/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/922, 488/101, 793/638 quickly i.e. 44408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/922, 488/101, 793/638 is 44408.

LCM(14/922, 488/101, 793/638) = 44408

LCM of 14/922, 488/101, 793/638

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 14/922,488/101,793/638

Given numbers are 14/922,488/101,793/638

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 14,488,793

Least Common Multiple of Numerators i.e. LCM of 14,488,793 is 44408.

GCF of Denominators means GCF of 922,101,638 as per the given fractions.

GCF of 922,101,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,488,793

LCM of Fractions 14/922,488/101,793/638 is 44408

2 14, 488, 793
61 7, 244, 793
7, 4, 13

∴ So the LCM of the given numbers is 2 x 61 x 7 x 4 x 13 = 44408

Least Common Multiple of 14,488,793 with GCF Formula

Least Common Multiple of 14,488,793 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 14,488,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,488,793) = 1

common factors(in case of two or more numbers have common factors) = 122

GCF(14,488,793) x common factors =1 x 122 = 122

LCM(14,488,793) = ( 14 × 488 × 793 ) / 122

LCM(14,488,793) = 5417776 / 122

LCM(14,488,793) = 44408


Lets's calculate GCF of 922,101,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44408/1

Therefore the LCM of Fractions 14/922,488/101,793/638 is 44408

Greatest Common Factor of 922,101,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 922,101,638 By Matching Biggest Common Factor Method

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 922,101,638 . The biggest common factor number is the GCF number.
So the greatest common factor 922,101,638 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 14/922, 488/101, 793/638

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 14/922, 488/101, 793/638?

Answer: LCM of Numerators as per given numbers 14/922, 488/101, 793/638 is

LCM of Numerators i.e. for 14,488,793 is 44408

GCF of denominators i.e. for 922,101,638 is 1.

Thus, LCM of Fractions is 44408.Finally, LCM of Fractions for 14/922, 488/101, 793/638 is 44408.