Least Common Multiple of 498/639, 920/904, 459/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/639, 920/904, 459/963 quickly i.e. 35049240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/639, 920/904, 459/963 is 35049240.

LCM(498/639, 920/904, 459/963) = 35049240

LCM of 498/639, 920/904, 459/963

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 498/639,920/904,459/963

Given numbers are 498/639,920/904,459/963

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 498,920,459

Least Common Multiple of Numerators i.e. LCM of 498,920,459 is 35049240.

GCF of Denominators means GCF of 639,904,963 as per the given fractions.

GCF of 639,904,963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,920,459

LCM of Fractions 498/639,920/904,459/963 is 35049240

2 498, 920, 459
3 249, 460, 459
83, 460, 153

∴ So the LCM of the given numbers is 2 x 3 x 83 x 460 x 153 = 35049240

Least Common Multiple of 498,920,459 with GCF Formula

Least Common Multiple of 498,920,459 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 498,920,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,920,459) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(498,920,459) x common factors =1 x 6 = 6

LCM(498,920,459) = ( 498 × 920 × 459 ) / 6

LCM(498,920,459) = 210295440 / 6

LCM(498,920,459) = 35049240


Lets's calculate GCF of 639,904,963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35049240/1

Therefore the LCM of Fractions 498/639,920/904,459/963 is 35049240

Greatest Common Factor of 639,904,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,904,963 By Matching Biggest Common Factor Method

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 639,904,963 . The biggest common factor number is the GCF number.
So the greatest common factor 639,904,963 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 498/639, 920/904, 459/963

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 498/639, 920/904, 459/963?

Answer: LCM of Numerators as per given numbers 498/639, 920/904, 459/963 is

LCM of Numerators i.e. for 498,920,459 is 35049240

GCF of denominators i.e. for 639,904,963 is 1.

Thus, LCM of Fractions is 35049240.Finally, LCM of Fractions for 498/639, 920/904, 459/963 is 35049240.