Least Common Multiple of 54/623, 890/42, 796/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/623, 890/42, 796/498 quickly i.e. 9563940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/623, 890/42, 796/498 is 9563940.

LCM(54/623, 890/42, 796/498) = 9563940

LCM of 54/623, 890/42, 796/498

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 54/623,890/42,796/498

Given numbers are 54/623,890/42,796/498

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 54,890,796

Least Common Multiple of Numerators i.e. LCM of 54,890,796 is 9563940.

GCF of Denominators means GCF of 623,42,498 as per the given fractions.

GCF of 623,42,498 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,890,796

LCM of Fractions 54/623,890/42,796/498 is 9563940

2 54, 890, 796
27, 445, 398

∴ So the LCM of the given numbers is 2 x 27 x 445 x 398 = 9563940

Least Common Multiple of 54,890,796 with GCF Formula

Least Common Multiple of 54,890,796 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 54,890,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,890,796) = 2

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

GCF(54,890,796) x common factors =2 x 2 = 4

LCM(54,890,796) = ( 54 × 890 × 796 ) / 4

LCM(54,890,796) = 38255760 / 4

LCM(54,890,796) = 9563940


Lets's calculate GCF of 623,42,498

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9563940/1

Therefore the LCM of Fractions 54/623,890/42,796/498 is 9563940

Greatest Common Factor of 623,42,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,42,498 By Matching Biggest Common Factor Method

Factors of 623

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

1,7,89,623

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 623,42,498 . The biggest common factor number is the GCF number.
So the greatest common factor 623,42,498 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 54/623, 890/42, 796/498

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 54/623, 890/42, 796/498?

Answer: LCM of Numerators as per given numbers 54/623, 890/42, 796/498 is

LCM of Numerators i.e. for 54,890,796 is 9563940

GCF of denominators i.e. for 623,42,498 is 1.

Thus, LCM of Fractions is 9563940.Finally, LCM of Fractions for 54/623, 890/42, 796/498 is 9563940.