Least Common Multiple of 454/996, 3374/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 454/996, 3374/499 quickly i.e. 765898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 454/996, 3374/499 is 765898.

LCM(454/996, 3374/499) = 765898

LCM of 454/996, 3374/499

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 454/996,3374/499

Given numbers are 454/996,3374/499

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 454,3374

Least Common Multiple of Numerators i.e. LCM of 454,3374 is 765898.

GCF of Denominators means GCF of 996,499 as per the given fractions.

GCF of 996,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 454,3374

LCM of Fractions 454/996,3374/499 is 765898

2 454, 3374
227, 1687

∴ So the LCM of the given numbers is 2 x 227 x 1687 = 765898

Least Common Multiple of 454,3374 with GCF Formula

Least Common Multiple of 454,3374 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 454,3374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,3374) = 2

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

GCF(454,3374) x common factors =2 x 1 = 2

LCM(454,3374) = ( 454 × 3374 ) / 2

LCM(454,3374) = 1531796 / 2

LCM(454,3374) = 765898


Lets's calculate GCF of 996,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 765898/1

Therefore the LCM of Fractions 454/996,3374/499 is 765898

Greatest Common Factor of 996,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,499 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 996,499 . The biggest common factor number is the GCF number.
So the greatest common factor 996,499 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 454/996, 3374/499

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 454/996, 3374/499?

Answer: LCM of Numerators as per given numbers 454/996, 3374/499 is

LCM of Numerators i.e. for 454,3374 is 765898

GCF of denominators i.e. for 996,499 is 1.

Thus, LCM of Fractions is 765898.Finally, LCM of Fractions for 454/996, 3374/499 is 765898.